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556663970304 = 29321343216107
BaseRepresentation
bin10000001100110111100…
…00100001101000000000
31222012211212110122120100
420012123300201220000
533110021434022204
61103421120442400
755134436451061
oct10063360415000
91865755418510
10556663970304
111a5097332022
128ba75779400
13406546bc2a0
141cd2a9dc568
15e730567a39
hex819bc21a00

556663970304 has 240 divisors, whose sum is σ = 1770396499872. Its totient is φ = 167297163264.

The previous prime is 556663970201. The next prime is 556663970341. The reversal of 556663970304 is 403079366655.

It is a super-2 number, since 2×5566639703042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2467819 + ... + 2683925.

Almost surely, 2556663970304 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 556663970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885198249936).

556663970304 is an abundant number, since it is smaller than the sum of its proper divisors (1213732529568).

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

556663970304 is a wasteful number, since it uses less digits than its factorization.

556663970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216187 (or 216168 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 556663970304 in words is "five hundred fifty-six billion, six hundred sixty-three million, nine hundred seventy thousand, three hundred four".