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56400613533 = 32112173046541
BaseRepresentation
bin110100100001101111…
…010001000010011101
312101120122201000202100
4310201233101002131
51411002024113113
641524324515313
74034442206415
oct644157210235
9171518630670
1056400613533
1121a12748800
12ab2054bb39
13541ab33404
142a30823645
151701762d73
hexd21bd109d

56400613533 has 36 divisors (see below), whose sum is σ = 94814480124. Its totient is φ = 32171462400.

The previous prime is 56400613469. The next prime is 56400613553. The reversal of 56400613533 is 33531600465.

56400613533 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 0 + 613 + 5 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21526171524 + 34874442009 = 146718^2 + 186747^2 .

It is not a de Polignac number, because 56400613533 - 26 = 56400613469 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56400613553) 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 35 ways as a sum of consecutive naturals, for example, 1504758 + ... + 1541783.

It is an arithmetic number, because the mean of its divisors is an integer number (2633735559).

Almost surely, 256400613533 is an apocalyptic number.

It is an amenable number.

56400613533 is a deficient number, since it is larger than the sum of its proper divisors (38413866591).

56400613533 is a wasteful number, since it uses less digits than its factorization.

56400613533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046586 (or 3046572 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 56400613533 in words is "fifty-six billion, four hundred million, six hundred thirteen thousand, five hundred thirty-three".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 6171 18513 3046541 9139623 27418869 33511951 51791197 100535853 155373591 301607559 368631461 466120773 569703167 1105894383 1709109501 3317683149 5127328503 6266734837 18800204511 56400613533