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556566374420 = 225741597179293
BaseRepresentation
bin10000001100101011111…
…00001110100000010100
31222012121001211021011222
420012111330032200110
533104321442440140
61103403312545512
755132143061010
oct10062574164024
91865531737158
10556566374420
111a5047232871
128ba48b52298
134063a40ab44
141cd1ba75540
15e726bda5b5
hex8195f0e814

556566374420 has 384 divisors, whose sum is σ = 1433869516800. Its totient is φ = 177543475200.

The previous prime is 556566374401. The next prime is 556566374431. The reversal of 556566374420 is 24473665655.

It is a super-2 number, since 2×5565663744202 (a number of 24 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 127 ways as a sum of consecutive naturals, for example, 1899543794 + ... + 1899544086.

It is an arithmetic number, because the mean of its divisors is an integer number (3734035200).

Almost surely, 2556566374420 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 556566374420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716934758400).

556566374420 is an abundant number, since it is smaller than the sum of its proper divisors (877303142380).

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

556566374420 is a wasteful number, since it uses less digits than its factorization.

556566374420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 53.

The spelling of 556566374420 in words is "five hundred fifty-six billion, five hundred sixty-six million, three hundred seventy-four thousand, four hundred twenty".