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104128866576 = 24337311110779
BaseRepresentation
bin110000011111010010…
…0000110100100010000
3100221202220211111102000
41200332210012210100
53201223442212301
6115500334554000
710344260522250
oct1407644064420
9327686744360
10104128866576
1140185037729
1218220668900
139a86040a67
14507b55b960
152a96967786
hex183e906910

104128866576 has 160 divisors (see below), whose sum is σ = 352606003200. Its totient is φ = 28791365760.

The previous prime is 104128866563. The next prime is 104128866587. The reversal of 104128866576 is 675668821401.

104128866576 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 8 + 8 + 66 + 576 = 666.

104128866576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 461646 + ... + 649133.

It is an arithmetic number, because the mean of its divisors is an integer number (2203787520).

Almost surely, 2104128866576 is an apocalyptic number.

104128866576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104128866576 is an abundant number, since it is smaller than the sum of its proper divisors (248477136624).

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

104128866576 is a wasteful number, since it uses less digits than its factorization.

104128866576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110834 (or 1110822 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 104128866576 in words is "one hundred four billion, one hundred twenty-eight million, eight hundred sixty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 46872 93744 1110779 2221558 3332337 4443116 6664674 7775453 8886232 9997011 13329348 15550906 17772464 19994022 23326359 26658696 29991033 31101812 34434149 39988044 46652718 53317392 59982066 62203624 68868298 69979077 79976088 93305436 103302447 119964132 124407248 137736596 139958154 159952176 186610872 206604894 209937231 239928264 241039043 275473192 279916308 309907341 373221744 413209788 419874462 479856528 482078086 550946384 559832616 619814682 723117129 826419576 839748924 929722023 964156172 1119665232 1239629364 1446234258 1652839152 1679497848 1859444046 1928312344 2169351387 2479258728 2892468516 3358995696 3718888092 3856624688 4338702774 4958517456 5784937032 6508054161 7437776184 8677405548 11569874064 13016108322 14875552368 17354811096 26032216644 34709622192 52064433288 104128866576