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56208660480 = 21135572461
BaseRepresentation
bin110100010110010011…
…000001100000000000
312101002021111210200000
4310112103001200000
51410103404113410
641453310400000
74026621505500
oct642623014000
9171067453600
1056208660480
1121924361615
12aa88200000
1353ba135a1b
142a13137a00
1516de997dc0
hexd164c1800

56208660480 has 864 divisors, whose sum is σ = 235517602320. Its totient is φ = 12819824640.

The previous prime is 56208660451. The next prime is 56208660527. The reversal of 56208660480 is 8406680265.

56208660480 is a `hidden beast` number, since 562 + 0 + 8 + 6 + 6 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121927450 + ... + 121927910.

Almost surely, 256208660480 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 56208660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117758801160).

56208660480 is an abundant number, since it is smaller than the sum of its proper divisors (179308941840).

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

56208660480 is an equidigital number, since it uses as much as digits as its factorization.

56208660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56208660480 in words is "fifty-six billion, two hundred eight million, six hundred sixty thousand, four hundred eighty".