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256454153152 = 2619223945739
BaseRepresentation
bin1110111011010111011…
…0111101001111000000
3220111221201201210210121
43232311312331033000
513200204230400102
6313451410310024
724346113222541
oct3566566751700
9814851653717
10256454153152
119984175801a
1241851b88314
131b250279b22
14c5aba804c8
156a0e760b37
hex3bb5dbd3c0

256454153152 has 56 divisors (see below), whose sum is σ = 538088230400. Its totient is φ = 120933409536.

The previous prime is 256454153149. The next prime is 256454153159. The reversal of 256454153152 is 251351454652.

It is a junction number, because it is equal to n+sod(n) for n = 256454153099 and 256454153108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256454153159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201702 + ... + 744037.

It is an arithmetic number, because the mean of its divisors is an integer number (9608718400).

Almost surely, 2256454153152 is an apocalyptic number.

It is an amenable number.

256454153152 is an abundant number, since it is smaller than the sum of its proper divisors (281634077248).

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

256454153152 is a wasteful number, since it uses less digits than its factorization.

256454153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945993 (or 945983 counting only the distinct ones).

The product of its digits is 720000, while the sum is 43.

The spelling of 256454153152 in words is "two hundred fifty-six billion, four hundred fifty-four million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 223 304 446 608 892 1216 1784 3568 4237 7136 8474 14272 16948 33896 67792 135584 271168 945739 1891478 3782956 7565912 15131824 17969041 30263648 35938082 60527296 71876164 143752328 210899797 287504656 421799594 575009312 843599188 1150018624 1687198376 3374396752 4007096143 6748793504 8014192286 13497587008 16028384572 32056769144 64113538288 128227076576 256454153152