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104886191664 = 24324495692851
BaseRepresentation
bin110000110101110110…
…1000100011000110000
3101000201200212121010100
41201223231010120300
53204301331113124
6120103431032400
710402114630152
oct1415355043060
9330650777110
10104886191664
1140533580231
12183b220b700
139b76c01707
14510dd78ad2
152add1b01c9
hex186bb44630

104886191664 has 120 divisors (see below), whose sum is σ = 294809814000. Its totient is φ = 34810675200.

The previous prime is 104886191659. The next prime is 104886191671. The reversal of 104886191664 is 466191688401.

104886191664 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 619 + 16 + 6 + 4 = 666.

It is a super-2 number, since 2×1048861916642 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104886191664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36787839 + ... + 36790689.

It is an arithmetic number, because the mean of its divisors is an integer number (2456748450).

Almost surely, 2104886191664 is an apocalyptic number.

It is an amenable number.

104886191664 is an abundant number, since it is smaller than the sum of its proper divisors (189923622336).

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

104886191664 is a wasteful number, since it uses less digits than its factorization.

104886191664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 104886191664 in words is "one hundred four billion, eight hundred eighty-six million, one hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 449 569 898 1138 1347 1707 1796 2276 2694 2851 3414 3592 4041 4552 5121 5388 5702 6828 7184 8082 8553 9104 10242 10776 11404 13656 16164 17106 20484 21552 22808 25659 27312 32328 34212 40968 45616 51318 64656 68424 81936 102636 136848 205272 255481 410544 510962 766443 1021924 1280099 1532886 1622219 2043848 2299329 2560198 3065772 3244438 3840297 4087696 4598658 4866657 5120396 6131544 6488876 7680594 9197316 9733314 10240792 11520891 12263088 12977752 14599971 15361188 18394632 19466628 20481584 23041782 25955504 29199942 30722376 36789264 38933256 46083564 58399884 61444752 77866512 92167128 116799768 184334256 233599536 728376331 1456752662 2185128993 2913505324 4370257986 5827010648 6555386979 8740515972 11654021296 13110773958 17481031944 26221547916 34962063888 52443095832 104886191664