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20870631936 = 293372112801
BaseRepresentation
bin10011011011111111…
…001001001000000000
31222212111202221202000
4103123333021020000
5320220340210221
613330550024000
71336123305300
oct233377111000
958774687660
1020870631936
11893aa22750
124065648000
131c77b8ab6b
14101db99600
158223e5e26
hex4dbfc9200

20870631936 has 480 divisors, whose sum is σ = 78425962560. Its totient is φ = 5419008000.

The previous prime is 20870631863. The next prime is 20870631941. The reversal of 20870631936 is 63913607802.

20870631936 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 0 + 631 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20870631891 and 20870631900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7449736 + ... + 7452536.

It is an arithmetic number, because the mean of its divisors is an integer number (163387422).

Almost surely, 220870631936 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 20870631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39212981280).

20870631936 is an abundant number, since it is smaller than the sum of its proper divisors (57555330624).

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

20870631936 is a wasteful number, since it uses less digits than its factorization.

20870631936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20870631936 in words is "twenty billion, eight hundred seventy million, six hundred thirty-one thousand, nine hundred thirty-six".