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56661016320 = 283451723161
BaseRepresentation
bin110100110001010000…
…100111111100000000
312102020210200212020000
4310301100213330000
51412020210010240
642010230120000
74044053456256
oct646120477400
9172223625200
1056661016320
1122036737217
12ab937b0000
13545ca78abc
142a5724a5d6
15171954e430
hexd31427f00

56661016320 has 1080 divisors, whose sum is σ = 225963120768. Its totient is φ = 13536460800.

The previous prime is 56661016271. The next prime is 56661016343. The reversal of 56661016320 is 2361016665.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 928869090 + ... + 928869150.

Almost surely, 256661016320 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 56661016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112981560384).

56661016320 is an abundant number, since it is smaller than the sum of its proper divisors (169302104448).

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

56661016320 is a wasteful number, since it uses less digits than its factorization.

56661016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 56661016320 in words is "fifty-six billion, six hundred sixty-one million, sixteen thousand, three hundred twenty".