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20537087688 = 233213192323759
BaseRepresentation
bin10011001000000110…
…110001011011001000
31222000021011011001100
4103020012301123020
5314024443301223
613233513021400
71324633236135
oct231006613310
958007134040
1020537087688
118789717a47
123b919b4860
131c23a46ac0
14dcb77358c
15802ead043
hex4c81b16c8

20537087688 has 576 divisors, whose sum is σ = 68841864000. Its totient is φ = 5477041152.

The previous prime is 20537087663. The next prime is 20537087723. The reversal of 20537087688 is 88678073502.

20537087688 is a `hidden beast` number, since 20 + 537 + 0 + 8 + 7 + 6 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 348086203 + ... + 348086261.

It is an arithmetic number, because the mean of its divisors is an integer number (119517125).

Almost surely, 220537087688 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 20537087688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34420932000).

20537087688 is an abundant number, since it is smaller than the sum of its proper divisors (48304776312).

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

20537087688 is a wasteful number, since it uses less digits than its factorization.

20537087688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 20537087688 in words is "twenty billion, five hundred thirty-seven million, eighty-seven thousand, six hundred eighty-eight".