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20536884072 = 23331031078627
BaseRepresentation
bin10011001000000101…
…111111101101101000
31222000020202210202000
4103020011333231220
5314024420242242
613233504411000
71324631430405
oct231005775550
958006683660
1020536884072
118789598a71
123b91916a60
131c239a5213
14dcb71d2ac
15802e6ca4c
hex4c817fb68

20536884072 has 128 divisors (see below), whose sum is σ = 58145817600. Its totient is φ = 6715030464.

The previous prime is 20536884059. The next prime is 20536884089. The reversal of 20536884072 is 27048863502.

20536884072 is a `hidden beast` number, since 2 + 0 + 536 + 8 + 8 + 40 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376223 + ... + 2384849.

It is an arithmetic number, because the mean of its divisors is an integer number (454264200).

Almost surely, 220536884072 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 20536884072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29072908800).

20536884072 is an abundant number, since it is smaller than the sum of its proper divisors (37608933528).

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

20536884072 is a wasteful number, since it uses less digits than its factorization.

20536884072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20536884072 in words is "twenty billion, five hundred thirty-six million, eight hundred eighty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 107 108 206 214 216 309 321 412 428 618 642 824 856 927 963 1236 1284 1854 1926 2472 2568 2781 2889 3708 3852 5562 5778 7416 7704 8627 11021 11124 11556 17254 22042 22248 23112 25881 33063 34508 44084 51762 66126 69016 77643 88168 99189 103524 132252 155286 198378 207048 232929 264504 297567 310572 396756 465858 595134 621144 793512 888581 923089 931716 1190268 1777162 1846178 1863432 2380536 2665743 2769267 3554324 3692356 5331486 5538534 7108648 7384712 7997229 8307801 10662972 11077068 15994458 16615602 21325944 22154136 23991687 24923403 31988916 33231204 47983374 49846806 63977832 66462408 95078167 95966748 99693612 190156334 191933496 199387224 285234501 380312668 570469002 760625336 855703503 1140938004 1711407006 2281876008 2567110509 3422814012 5134221018 6845628024 10268442036 20536884072