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104485905072 = 2433659367019
BaseRepresentation
bin110000101001111011…
…0000110001010110000
3100222200210122221011000
41201103312012022300
53202441342430242
6120000011322000
710356154352643
oct1412366061260
9328623587130
10104485905072
1140348629a6a
1218300150300
139b11cbc843
1450b2b3ba5a
152ab7e91a4c
hex1853d862b0

104485905072 has 80 divisors (see below), whose sum is σ = 300369168000. Its totient is φ = 34775689536.

The previous prime is 104485904969. The next prime is 104485905119. The reversal of 104485905072 is 270509584401.

104485905072 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 8 + 590 + 50 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101179 + ... + 468197.

It is an arithmetic number, because the mean of its divisors is an integer number (3754614600).

Almost surely, 2104485905072 is an apocalyptic number.

104485905072 is a gapful number since it is divisible by the number (12) 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 104485905072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150184584000).

104485905072 is an abundant number, since it is smaller than the sum of its proper divisors (195883262928).

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

104485905072 is a wasteful number, since it uses less digits than its factorization.

104485905072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367695 (or 367683 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 104485905072 in words is "one hundred four billion, four hundred eighty-five million, nine hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 659 1318 1977 2636 3954 5272 5931 7908 10544 11862 15816 17793 23724 31632 35586 47448 71172 94896 142344 284688 367019 734038 1101057 1468076 2202114 2936152 3303171 4404228 5872304 6606342 8808456 9909513 13212684 17616912 19819026 26425368 39638052 52850736 79276104 158552208 241865521 483731042 725596563 967462084 1451193126 1934924168 2176789689 2902386252 3869848336 4353579378 5804772504 6530369067 8707158756 11609545008 13060738134 17414317512 26121476268 34828635024 52242952536 104485905072