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20325271536 = 24321743918913
BaseRepresentation
bin10010111011011110…
…110000011111110000
31221110111120202220200
4102323132300133300
5313111232142121
613200505035200
71316451646263
oct227336603760
957414522820
1020325271536
1186900a4379
123b32a85b00
131bbbbb33bb
14dab596cda
157de5bca26
hex4bb7b07f0

20325271536 has 120 divisors (see below), whose sum is σ = 60368948640. Its totient is φ = 6361694208.

The previous prime is 20325271513. The next prime is 20325271541. The reversal of 20325271536 is 63517252302.

20325271536 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 52 + 71 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20325271536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065216 + ... + 1084128.

It is an arithmetic number, because the mean of its divisors is an integer number (503074572).

Almost surely, 220325271536 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 20325271536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30184474320).

20325271536 is an abundant number, since it is smaller than the sum of its proper divisors (40043677104).

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

20325271536 is a wasteful number, since it uses less digits than its factorization.

20325271536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19383 (or 19374 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 20325271536 in words is "twenty billion, three hundred twenty-five million, two hundred seventy-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 439 612 816 878 1224 1317 1756 2448 2634 3512 3951 5268 7024 7463 7902 10536 14926 15804 18913 21072 22389 29852 31608 37826 44778 56739 59704 63216 67167 75652 89556 113478 119408 134334 151304 170217 179112 226956 268668 302608 321521 340434 358224 453912 537336 643042 680868 907824 964563 1074672 1286084 1361736 1929126 2572168 2723472 2893689 3858252 5144336 5787378 7716504 8302807 11574756 15433008 16605614 23149512 24908421 33211228 46299024 49816842 66422456 74725263 99633684 132844912 141147719 149450526 199267368 282295438 298901052 398534736 423443157 564590876 597802104 846886314 1129181752 1195604208 1270329471 1693772628 2258363504 2540658942 3387545256 5081317884 6775090512 10162635768 20325271536