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12525252525216 = 25321632351113489
BaseRepresentation
bin1011011001000100001100…
…1110100011110010100000
31122100101212101101000022200
42312101003032203302200
53120203204121301331
642350004354333200
72431630301553354
oct266210316436240
948311771330280
1012525252525216
113a99a25577252
1214a358988a200
136cb18448ba72
14314322921464
1516ac259a85e6
hexb64433a3ca0

12525252525216 has 144 divisors (see below), whose sum is σ = 35852765719680. Its totient is φ = 4147668633600.

The previous prime is 12525252525211. The next prime is 12525252525217. The reversal of 12525252525216 is 61252525252521.

12525252525216 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 52 + 52 + 525 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12525252525211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110308600 + ... + 110422088.

It is an arithmetic number, because the mean of its divisors is an integer number (248977539720).

Almost surely, 212525252525216 is an apocalyptic number.

12525252525216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12525252525216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926382859840).

12525252525216 is an abundant number, since it is smaller than the sum of its proper divisors (23327513194464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12525252525216 is a wasteful number, since it uses less digits than its factorization.

12525252525216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116019 (or 116008 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

Adding to 12525252525216 its reverse (61252525252521), we get a palindrome (73777777777737).

The spelling of 12525252525216 in words is "twelve trillion, five hundred twenty-five billion, two hundred fifty-two million, five hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2351 2608 2934 3912 4702 5216 5868 7053 7824 9404 11736 14106 15648 18808 21159 23472 28212 37616 42318 46944 56424 75232 84636 112848 113489 169272 225696 226978 338544 340467 383213 453956 677088 680934 766426 907912 1021401 1149639 1361868 1532852 1815824 2042802 2299278 2723736 3065704 3448917 3631648 4085604 4598556 5447472 6131408 6897834 8171208 9197112 10894944 12262816 13795668 16342416 18394224 18498707 27591336 32684832 36788448 36997414 55182672 55496121 73994828 110365344 110992242 147989656 166488363 221984484 266812639 295979312 332976726 443968968 533625278 591958624 665953452 800437917 887937936 1067250556 1331906904 1600875834 1775875872 2134501112 2401313751 2663813808 3201751668 4269002224 4802627502 5327627616 6403503336 8538004448 9605255004 12807006672 19210510008 25614013344 38421020016 43490460157 76842040032 86980920314 130471380471 173961840628 260942760942 347923681256 391414141413 521885521884 695847362512 782828282826 1043771043768 1391694725024 1565656565652 2087542087536 3131313131304 4175084175072 6262626262608 12525252525216