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12576017328 = 2437271138113
BaseRepresentation
bin10111011011001011…
…01100101110110000
31012110102222212120120
423231211230232300
5201223430023303
65435523410240
7623434245360
oct135545545660
935412885516
1012576017328
115373919a56
12252b823980
1312555b4294
148743209a0
154d9102553
hex2ed96cbb0

12576017328 has 80 divisors (see below), whose sum is σ = 37266471936. Its totient is φ = 3579863040.

The previous prime is 12576017327. The next prime is 12576017329. The reversal of 12576017328 is 82371067521.

It is an interprime number because it is at equal distance from previous prime (12576017327) and next prime (12576017329).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12576017328.

It is not an unprimeable number, because it can be changed into a prime (12576017327) 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, 22000 + ... + 160112.

Almost surely, 212576017328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12576017328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633235968).

12576017328 is an abundant number, since it is smaller than the sum of its proper divisors (24690454608).

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

12576017328 is a wasteful number, since it uses less digits than its factorization.

12576017328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138402 (or 138396 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 12576017328 in words is "twelve billion, five hundred seventy-six million, seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 542 813 1084 1626 1897 2168 3252 3794 4336 5691 6504 7588 11382 13008 15176 22764 30352 45528 91056 138113 276226 414339 552452 828678 966791 1104904 1657356 1933582 2209808 2900373 3314712 3867164 5800746 6629424 7734328 11601492 15468656 23202984 37428623 46405968 74857246 112285869 149714492 224571738 262000361 299428984 449143476 524000722 598857968 786001083 898286952 1048001444 1572002166 1796573904 2096002888 3144004332 4192005776 6288008664 12576017328