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104253165108 = 223217170348309
BaseRepresentation
bin110000100010111111…
…0010000111000110100
3100222002120201111221100
41201011332100320310
53202002302240413
6115520535050100
710350330165531
oct1410576207064
9328076644840
10104253165108
1140239214a94
1218256210930
139aa5a113a1
14508dc75d88
152aa281ba73
hex1845f90e34

104253165108 has 36 divisors (see below), whose sum is σ = 279030531780. Its totient is φ = 32706875136.

The previous prime is 104253165059. The next prime is 104253165139. The reversal of 104253165108 is 801561352401.

104253165108 is a `hidden beast` number, since 10 + 4 + 2 + 531 + 6 + 5 + 108 = 666.

104253165108 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50188544784 + 54064620324 = 224028^2 + 232518^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85173543 + ... + 85174766.

It is an arithmetic number, because the mean of its divisors is an integer number (7750848105).

Almost surely, 2104253165108 is an apocalyptic number.

104253165108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104253165108 is an abundant number, since it is smaller than the sum of its proper divisors (174777366672).

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

104253165108 is a wasteful number, since it uses less digits than its factorization.

104253165108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170348336 (or 170348331 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 104253 and 165108, that added together give a square (269361 = 5192).

The spelling of 104253165108 in words is "one hundred four billion, two hundred fifty-three million, one hundred sixty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 170348309 340696618 511044927 681393236 1022089854 1533134781 2044179708 2895921253 3066269562 5791842506 6132539124 8687763759 11583685012 17375527518 26063291277 34751055036 52126582554 104253165108