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104098823712 = 25321327804173
BaseRepresentation
bin110000011110011000…
…1011111111000100000
3100221200211022011100100
41200330301133320200
53201143244324322
6115453343022400
710343444254602
oct1407461377040
9327624264310
10104098823712
114016a088014
121821259aa00
139a7ca52410
14507757b172
152a93ed0dac
hex183cc5fe20

104098823712 has 72 divisors (see below), whose sum is σ = 318802659084. Its totient is φ = 32030406144.

The previous prime is 104098823693. The next prime is 104098823747. The reversal of 104098823712 is 217328890401.

It is a happy number.

104098823712 is a `hidden beast` number, since 1 + 0 + 409 + 8 + 8 + 237 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102556219536 + 1542604176 = 320244^2 + 39276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13898343 + ... + 13905830.

Almost surely, 2104098823712 is an apocalyptic number.

104098823712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104098823712 is an abundant number, since it is smaller than the sum of its proper divisors (214703835372).

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

104098823712 is a wasteful number, since it uses less digits than its factorization.

104098823712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27804202 (or 27804191 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 104098823712 in words is "one hundred four billion, ninety-eight million, eight hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 27804173 55608346 83412519 111216692 166825038 222433384 250237557 333650076 361454249 444866768 500475114 667300152 722908498 889733536 1000950228 1084362747 1334600304 1445816996 2001900456 2168725494 2669200608 2891633992 3253088241 4003800912 4337450988 5783267984 6506176482 8007601824 8674901976 11566535968 13012352964 17349803952 26024705928 34699607904 52049411856 104098823712