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5108632695108 = 2232317368639137
BaseRepresentation
bin100101001010111001000…
…1111001011000101000100
3200002101021101200211002100
41022111302033023011010
51132144434432220413
614510512400112100
71035041452302015
oct112256217130504
920071241624070
105108632695108
11169a616a7a228
126a6106905630
132b098521c307
1413938b12900c
158cd49781a73
hex4a5723cb144

5108632695108 has 144 divisors (see below), whose sum is σ = 13516103817216. Its totient is φ = 1624956733440.

The previous prime is 5108632695097. The next prime is 5108632695121. The reversal of 5108632695108 is 8015962368015.

5108632695108 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 63 + 2 + 69 + 510 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559110316 + ... + 559119452.

It is an arithmetic number, because the mean of its divisors is an integer number (93861832064).

Almost surely, 25108632695108 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 5108632695108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758051908608).

5108632695108 is an abundant number, since it is smaller than the sum of its proper divisors (8407471122108).

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

5108632695108 is a wasteful number, since it uses less digits than its factorization.

5108632695108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16114 (or 16109 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5108632695108 in words is "five trillion, one hundred eight billion, six hundred thirty-two million, six hundred ninety-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 558 657 876 1116 1314 2263 2628 4526 6789 6863 9052 9137 13578 13726 18274 20367 20589 27156 27411 27452 36548 40734 41178 54822 61767 81468 82233 82356 109644 123534 164466 212753 247068 283247 328932 425506 500999 566494 638259 667001 849741 851012 1001998 1132988 1276518 1334002 1502997 1699482 1914777 2001003 2003996 2549223 2553036 2668004 3005994 3398964 3829554 4002006 4508991 5098446 6003009 6011988 7659108 8004012 9017982 10196892 12006018 15530969 18035964 20677031 24012036 31061938 41354062 46592907 62031093 62123876 62707231 82708124 93185814 124062186 125414462 139778721 186093279 186371628 188121693 248124372 250828924 279557442 372186558 376243386 559114884 564365079 744373116 752486772 1128730158 1943924161 2257460316 3887848322 4577627863 5831772483 7775696644 9155255726 11663544966 13732883589 17495317449 18310511452 23327089932 27465767178 34990634898 41198650767 54931534356 69981269796 82397301534 141906463753 164794603068 283812927506 425719391259 567625855012 851438782518 1277158173777 1702877565036 2554316347554 5108632695108