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11571996256 = 252343536899
BaseRepresentation
bin10101100011011111…
…01010011001100000
31002212110202022120221
422301233222121200
5142144412340011
65152140012424
7556523226262
oct126157523140
932773668527
1011571996256
1149a90aa077
1222ab531114
131125599a82
147bac47b32
1547adc9971
hex2b1bea660

11571996256 has 96 divisors (see below), whose sum is σ = 24788332800. Its totient is φ = 5302961664.

The previous prime is 11571996229. The next prime is 11571996257. The reversal of 11571996256 is 65269917511.

11571996256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115719962562 (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 (11571996257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1673895 + ... + 1680793.

It is an arithmetic number, because the mean of its divisors is an integer number (258211800).

Almost surely, 211571996256 is an apocalyptic number.

11571996256 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 11571996256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394166400).

11571996256 is an abundant number, since it is smaller than the sum of its proper divisors (13216336544).

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

11571996256 is a wasteful number, since it uses less digits than its factorization.

11571996256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7020 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 52.

The spelling of 11571996256 in words is "eleven billion, five hundred seventy-one million, nine hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 43 46 53 86 92 106 172 184 212 344 368 424 688 736 848 989 1219 1376 1696 1978 2279 2438 3956 4558 4876 6899 7912 9116 9752 13798 15824 18232 19504 27596 31648 36464 39008 52417 55192 72928 104834 110384 158677 209668 220768 296657 317354 365647 419336 593314 634708 731294 838672 1186628 1269416 1462588 1677344 2373256 2538832 2925176 4746512 5077664 5850352 6823111 8409881 9493024 11700704 13646222 15722821 16819762 27292444 31445642 33639524 54584888 62891284 67279048 109169776 125782568 134558096 218339552 251565136 269116192 361624883 503130272 723249766 1446499532 2892999064 5785998128 11571996256