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104402406465 = 3357110478737
BaseRepresentation
bin110000100111011011…
…1100100110001000001
3100222110222112202121000
41201032313210301001
53202304004001330
6115543425522213
710354121545530
oct1411667446101
9328428482530
10104402406465
1140305489255
12182981a3369
139aca905b96
1450a5a04317
152ab099b560
hex184ede4c41

104402406465 has 32 divisors (see below), whose sum is σ = 212119176960. Its totient is φ = 47726813952.

The previous prime is 104402406419. The next prime is 104402406469. The reversal of 104402406465 is 564604204401.

104402406465 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 2 + 4 + 0 + 646 + 5 = 666.

It is not a de Polignac number, because 104402406465 - 26 = 104402406401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104402406469) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55238424 + ... + 55240313.

It is an arithmetic number, because the mean of its divisors is an integer number (6628724280).

Almost surely, 2104402406465 is an apocalyptic number.

104402406465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104402406465 is an abundant number, since it is smaller than the sum of its proper divisors (107716770495).

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

104402406465 is a wasteful number, since it uses less digits than its factorization.

104402406465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110478758 (or 110478752 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 104402406465 in words is "one hundred four billion, four hundred two million, four hundred six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 110478737 331436211 552393685 773351159 994308633 1657181055 2320053477 2982925899 3866755795 4971543165 6960160431 11600267385 14914629495 20880481293 34800802155 104402406465