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20317523904 = 263243381463
BaseRepresentation
bin10010111011000001…
…001100111111000000
31221102222000011011100
4102323001030333000
5313102241231104
613200031014400
71316326050366
oct227301147700
957388004140
1020317523904
118686792477
123b3036a400
131bba3ccac2
14daa53b636
157dda8c139
hex4bb04cfc0

20317523904 has 84 divisors (see below), whose sum is σ = 58371725776. Its totient is φ = 6756784128.

The previous prime is 20317523887. The next prime is 20317523911. The reversal of 20317523904 is 40932571302.

20317523904 is a `hidden beast` number, since 203 + 17 + 52 + 390 + 4 = 666.

It is a super-2 number, since 2×203175239042 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 208677 + ... + 290139.

Almost surely, 220317523904 is an apocalyptic number.

20317523904 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 20317523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29185862888).

20317523904 is an abundant number, since it is smaller than the sum of its proper divisors (38054201872).

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

20317523904 is a wasteful number, since it uses less digits than its factorization.

20317523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81914 (or 81901 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20317523904 in words is "twenty billion, three hundred seventeen million, five hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 433 576 866 1299 1732 2598 3464 3897 5196 6928 7794 10392 13856 15588 20784 27712 31176 41568 62352 81463 83136 124704 162926 244389 249408 325852 488778 651704 733167 977556 1303408 1466334 1955112 2606816 2932668 3910224 5213632 5865336 7820448 11730672 15640896 23461344 35273479 46922688 70546958 105820437 141093916 211640874 282187832 317461311 423281748 564375664 634922622 846563496 1128751328 1269845244 1693126992 2257502656 2539690488 3386253984 5079380976 6772507968 10158761952 20317523904