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20560155264 = 2733113747311
BaseRepresentation
bin10011001001011110…
…110001001010000000
31222001212120002211000
4103021132301022000
5314101344432024
613240055252000
71325333302425
oct231136611200
958055502730
1020560155264
1187a0742a60
123b9967a000
131c2876255c
14dd0859d4c
15805017cc9
hex4c97b1280

20560155264 has 512 divisors, whose sum is σ = 69656371200. Its totient is φ = 5913907200.

The previous prime is 20560155247. The next prime is 20560155293. The reversal of 20560155264 is 46255106502.

20560155264 is a `hidden beast` number, since 20 + 5 + 601 + 5 + 5 + 26 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66109669 + ... + 66109979.

It is an arithmetic number, because the mean of its divisors is an integer number (136047600).

Almost surely, 220560155264 is an apocalyptic number.

20560155264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20560155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34828185600).

20560155264 is an abundant number, since it is smaller than the sum of its proper divisors (49096215936).

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

20560155264 is a wasteful number, since it uses less digits than its factorization.

20560155264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 20560155264 in words is "twenty billion, five hundred sixty million, one hundred fifty-five thousand, two hundred sixty-four".