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104654808648 = 233313193119301
BaseRepresentation
bin110000101110111101…
…0011010011001001000
3101000010120111010022000
41201131322122121020
53203313112334043
6120024443431000
710363305124125
oct1413572323110
9330116433260
10104654808648
1140424a027a5
1218348825460
139b3aca9aa0
1450cb34774c
152ac7c072d3
hex185de9a648

104654808648 has 128 divisors (see below), whose sum is σ = 313248297600. Its totient is φ = 32183136000.

The previous prime is 104654808611. The next prime is 104654808649. The reversal of 104654808648 is 846808456401.

It is a happy number.

104654808648 is a `hidden beast` number, since 1 + 0 + 46 + 5 + 480 + 86 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104654808594 and 104654808603.

It is not an unprimeable number, because it can be changed into a prime (104654808649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5412598 + ... + 5431898.

It is an arithmetic number, because the mean of its divisors is an integer number (2447252325).

Almost surely, 2104654808648 is an apocalyptic number.

104654808648 is a gapful number since it is divisible by the number (18) 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 104654808648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156624148800).

104654808648 is an abundant number, since it is smaller than the sum of its proper divisors (208593488952).

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

104654808648 is a wasteful number, since it uses less digits than its factorization.

104654808648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21260 (or 21250 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 104654808648 in words is "one hundred four billion, six hundred fifty-four million, eight hundred eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1931 2808 3862 5793 7724 11586 15448 17379 19301 23172 25103 34758 38602 46344 50206 52137 57903 69516 75309 77204 100412 104274 115806 139032 150618 154408 173709 200824 208548 225927 231612 250913 301236 347418 417096 451854 463224 501826 521127 602472 677781 694836 752739 903708 1003652 1042254 1355562 1389672 1505478 1807416 2007304 2084508 2258217 2711124 3010956 4169016 4516434 5422248 6021912 6774651 9032868 13549302 18065736 27098604 37270231 54197208 74540462 111810693 149080924 223621386 298161848 335432079 447242772 484513003 670864158 894485544 969026006 1006296237 1341728316 1453539009 1938052012 2012592474 2683456632 2907078018 3876104024 4025184948 4360617027 5814156036 8050369896 8721234054 11628312072 13081851081 17442468108 26163702162 34884936216 52327404324 104654808648