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105278451564 = 2231113173608887
BaseRepresentation
bin110001000001100010…
…1011010111101101100
3101001202000222110112210
41202003011122331230
53211102240422224
6120210402330420
710414620034056
oct1420305327554
9331660873483
10105278451564
1140714a39970
12184a1659a10
139c0a262c70
14514a0c68d6
152b12845429
hex188315af6c

105278451564 has 96 divisors (see below), whose sum is σ = 305571764736. Its totient is φ = 27716244480.

The previous prime is 105278451559. The next prime is 105278451611. The reversal of 105278451564 is 465154872501.

It is a happy number.

It is a super-2 number, since 2×1052784515642 (a number of 23 digits) contains 22 as substring.

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, 1775272 + ... + 1833615.

It is an arithmetic number, because the mean of its divisors is an integer number (3183039216).

Almost surely, 2105278451564 is an apocalyptic number.

It is an amenable number.

105278451564 is an abundant number, since it is smaller than the sum of its proper divisors (200293313172).

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

105278451564 is a wasteful number, since it uses less digits than its factorization.

105278451564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608935 (or 3608933 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 105278451564 in words is "one hundred five billion, two hundred seventy-eight million, four hundred fifty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1122 1326 1716 2244 2431 2652 4862 7293 9724 14586 29172 3608887 7217774 10826661 14435548 21653322 39697757 43306644 46915531 61351079 79395514 93831062 119093271 122702158 140746593 158791028 184053237 187662124 238186542 245404316 281493186 368106474 476373084 516070841 562986372 674861869 736212948 797564027 1032141682 1349723738 1548212523 1595128054 2024585607 2064283364 2392692081 2699447476 3096425046 3190256108 4049171214 4785384162 6192850092 8098342428 8773204297 9570768324 17546408594 26319612891 35092817188 52639225782 105278451564