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56169447013680 = 2435711132310165459
BaseRepresentation
bin11001100010101111101111…
…11011111011110100110000
321100212202011100010222112120
430301113313323323310300
524330240011413414210
6315243515425554240
714555052154660410
oct1461276773736460
9240782140128476
1056169447013680
1116996368560920
1263720221a5980
1325459aa2922c0
14dc2889844640
15676169b10270
hex3315f7efbd30

56169447013680 has 640 divisors, whose sum is σ = 243955425853440. Its totient is φ = 10305334702080.

The previous prime is 56169447013663. The next prime is 56169447013709. The reversal of 56169447013680 is 8631074496165.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 442791 + ... + 10608249.

It is an arithmetic number, because the mean of its divisors is an integer number (381180352896).

Almost surely, 256169447013680 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 56169447013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121977712926720).

56169447013680 is an abundant number, since it is smaller than the sum of its proper divisors (187785978839760).

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

56169447013680 is a wasteful number, since it uses less digits than its factorization.

56169447013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165529 (or 10165523 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 56169447013680 in words is "fifty-six trillion, one hundred sixty-nine billion, four hundred forty-seven million, thirteen thousand, six hundred eighty".