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104714604064 = 25721729135461
BaseRepresentation
bin110000110000101111…
…0100000111000100000
3101000021202000001012001
41201201132200320200
53203423414312224
6120034421213344
710364632306600
oct1414136407040
9330252001161
10104714604064
11404557339a4
1218364861254
139b4a4b48a5
1450d5270c00
152acd0b9544
hex18617a0e20

104714604064 has 144 divisors (see below), whose sum is σ = 262679782680. Its totient is φ = 40781045760.

The previous prime is 104714603999. The next prime is 104714604067. The reversal of 104714604064 is 460406417401.

It can be written as a sum of positive squares in 4 ways, for example, as 86189216400 + 18525387664 = 293580^2 + 136108^2 .

It is not an unprimeable number, because it can be changed into a prime (104714604067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705294 + ... + 840754.

Almost surely, 2104714604064 is an apocalyptic number.

104714604064 is a gapful number since it is divisible by the number (14) 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 104714604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131339891340).

104714604064 is an abundant number, since it is smaller than the sum of its proper divisors (157965178616).

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

104714604064 is a wasteful number, since it uses less digits than its factorization.

104714604064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135531 (or 135516 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 104714604064 in words is "one hundred four billion, seven hundred fourteen million, six hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 49 56 58 68 98 112 116 119 136 196 203 224 232 238 272 392 406 464 476 493 544 784 812 833 928 952 986 1421 1568 1624 1666 1904 1972 2842 3248 3332 3451 3808 3944 5684 6496 6664 6902 7888 11368 13328 13804 15776 22736 24157 26656 27608 45472 48314 55216 96628 110432 135461 193256 270922 386512 541844 773024 948227 1083688 1896454 2167376 2302837 3792908 3928369 4334752 4605674 6637589 7585816 7856738 9211348 13275178 15171632 15713476 16119859 18422696 26550356 27498583 30343264 31426952 32239718 36845392 53100712 54997166 62853904 64479436 66782273 73690784 106201424 109994332 112839013 125707808 128958872 133564546 192490081 212402848 219988664 225678026 257917744 267129092 384980162 439977328 451356052 467475911 515835488 534258184 769960324 879954656 902712104 934951822 1068516368 1539920648 1805424208 1869903644 2137032736 3079841296 3272331377 3610848416 3739807288 6159682592 6544662754 7479614576 13089325508 14959229152 26178651016 52357302032 104714604064