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56354845365 = 3357213679781
BaseRepresentation
bin110100011111000000…
…101011001010110101
312101110110120202122000
4310133000223022311
51410403320022430
641520011525513
74033345165500
oct643700531265
9171413522560
1056354845365
1121999928475
12ab09159899
1354114ca260
142a2870c137
1516ec721e60
hexd1f02b2b5

56354845365 has 192 divisors, whose sum is σ = 127394507520. Its totient is φ = 23423178240.

The previous prime is 56354845333. The next prime is 56354845381.

56354845365 is a `hidden beast` number, since 5 + 63 + 5 + 48 + 4 + 536 + 5 = 666.

56354845365 is nontrivially palindromic in base 10.

56354845365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56354845365 - 25 = 56354845333 is a prime.

It is a super-2 number, since 2×563548453652 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5756775 + ... + 5766555.

It is an arithmetic number, because the mean of its divisors is an integer number (663513060).

Almost surely, 256354845365 is an apocalyptic number.

It is an amenable number.

56354845365 is an abundant number, since it is smaller than the sum of its proper divisors (71039662155).

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

56354845365 is a wasteful number, since it uses less digits than its factorization.

56354845365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889 (or 9876 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 56354845365 in words is "fifty-six billion, three hundred fifty-four million, eight hundred forty-five thousand, three hundred sixty-five".