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23453254125024 = 2532315316937913
BaseRepresentation
bin1010101010100101000101…
…11000011000010111100000
310002001002221121100000001120
411111102202320120113200
511033224231024000044
6121514135354332240
74640304333540513
oct525224270302740
9102032847300046
1023453254125024
11752251858a489
12276949342a080
13101182b431349
145b1201cc0d7a
152aa1163a8519
hex1554a2e185e0

23453254125024 has 96 divisors (see below), whose sum is σ = 64283491931904. Its totient is φ = 7472963773440.

The previous prime is 23453254125011. The next prime is 23453254125029. The reversal of 23453254125024 is 42052145235432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23453254125029) 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 15 ways as a sum of consecutive naturals, for example, 88509 + ... + 6849404.

It is an arithmetic number, because the mean of its divisors is an integer number (669619707624).

Almost surely, 223453254125024 is an apocalyptic number.

23453254125024 is a gapful number since it is divisible by the number (24) 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 23453254125024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32141745965952).

23453254125024 is an abundant number, since it is smaller than the sum of its proper divisors (40830237806880).

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

23453254125024 is a wasteful number, since it uses less digits than its factorization.

23453254125024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939480 (or 6939472 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 23453254125024 in words is "twenty-three trillion, four hundred fifty-three billion, two hundred fifty-four million, one hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1531 2208 3062 4593 6124 9186 12248 18372 24496 35213 36744 48992 70426 73488 105639 140852 146976 211278 281704 422556 563408 845112 1126816 1690224 3380448 6937913 13875826 20813739 27751652 41627478 55503304 83254956 111006608 159571999 166509912 222013216 319143998 333019824 478715997 638287996 666039648 957431994 1276575992 1914863988 2553151984 3829727976 5106303968 7659455952 10621944803 15318911904 21243889606 31865834409 42487779212 63731668818 84975558424 127463337636 169951116848 244304730469 254926675272 339902233696 488609460938 509853350544 732914191407 977218921876 1019706701088 1465828382814 1954437843752 2931656765628 3908875687504 5863313531256 7817751375008 11726627062512 23453254125024