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12532924896 = 2532912735447
BaseRepresentation
bin10111010110000010…
…10100000111100000
31012100102220112212120
423223001110013200
5201131412044041
65431344024240
7622402050432
oct135301240740
935312815776
1012532924896
115351566a78
122519302080
1312496a6cbb
1486c704652
154d543e366
hex2eb0541e0

12532924896 has 96 divisors (see below), whose sum is σ = 34302320640. Its totient is φ = 4001711616.

The previous prime is 12532924891. The next prime is 12532924903. The reversal of 12532924896 is 69842923521.

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

It is a super-2 number, since 2×125329248962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12532924891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335845 + ... + 371291.

It is an arithmetic number, because the mean of its divisors is an integer number (357315840).

Almost surely, 212532924896 is an apocalyptic number.

12532924896 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 12532924896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151160320).

12532924896 is an abundant number, since it is smaller than the sum of its proper divisors (21769395744).

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

12532924896 is a wasteful number, since it uses less digits than its factorization.

12532924896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35616 (or 35608 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 12532924896 in words is "twelve billion, five hundred thirty-two million, nine hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 127 174 232 254 348 381 464 508 696 762 928 1016 1392 1524 2032 2784 3048 3683 4064 6096 7366 11049 12192 14732 22098 29464 35447 44196 58928 70894 88392 106341 117856 141788 176784 212682 283576 353568 425364 567152 850728 1027963 1134304 1701456 2055926 3083889 3402912 4111852 4501769 6167778 8223704 9003538 12335556 13505307 16447408 18007076 24671112 27010614 32894816 36014152 49342224 54021228 72028304 98684448 108042456 130551301 144056608 216084912 261102602 391653903 432169824 522205204 783307806 1044410408 1566615612 2088820816 3133231224 4177641632 6266462448 12532924896