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56434631022 = 232711197927127
BaseRepresentation
bin110100100011110001…
…000010000101101110
312101200000201021222100
4310203301002011232
51411034231143042
641531541555530
74035334306650
oct644361020556
9171600637870
1056434631022
1121a2a972630
12ab2ba15ba6
135424bb3bc3
142a3515a6d0
15170473224c
hexd23c4216e

56434631022 has 192 divisors, whose sum is σ = 162507571200. Its totient is φ = 13710565440.

The previous prime is 56434630949. The next prime is 56434631087. The reversal of 56434631022 is 22013643465.

56434631022 is a `hidden beast` number, since 5 + 643 + 4 + 6 + 3 + 1 + 0 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2066823 + ... + 2093949.

It is an arithmetic number, because the mean of its divisors is an integer number (846393600).

Almost surely, 256434631022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56434631022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81253785600).

56434631022 is an abundant number, since it is smaller than the sum of its proper divisors (106072940178).

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

56434631022 is a wasteful number, since it uses less digits than its factorization.

56434631022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27251 (or 27248 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 56434631022 in words is "fifty-six billion, four hundred thirty-four million, six hundred thirty-one thousand, twenty-two".