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56212604640 = 2533573178249
BaseRepresentation
bin110100010110100010…
…000100011011100000
312101002112221012001000
4310112202010123200
51410110411322030
641453531112000
74030000153503
oct642642043340
9171075835030
1056212604640
1121926605955
12aa895a2600
1353babb704a
142a1388313a
1516deec6860
hexd168846e0

56212604640 has 192 divisors, whose sum is σ = 199440360000. Its totient is φ = 14784602112.

The previous prime is 56212604551. The next prime is 56212604653. The reversal of 56212604640 is 4640621265.

56212604640 is a `hidden beast` number, since 5 + 6 + 2 + 1 + 2 + 6 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56212604595 and 56212604604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226236 + ... + 404484.

It is an arithmetic number, because the mean of its divisors is an integer number (1038751875).

Almost surely, 256212604640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56212604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99720180000).

56212604640 is an abundant number, since it is smaller than the sum of its proper divisors (143227755360).

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

56212604640 is a wasteful number, since it uses less digits than its factorization.

56212604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178346 (or 178332 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 56212604640 in words is "fifty-six billion, two hundred twelve million, six hundred four thousand, six hundred forty".