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104437713468385 = 51117231431482641
BaseRepresentation
bin10111101111110001001100…
…110011111111101111100001
3111200210010222211010022000001
4113233301030303333233201
5102142101414121442020
61010042005003300001
730666242620222303
oct2757611463775741
9450703884108001
10104437713468385
1130305870627130
12b86888ab1a601
1346375849c457b
141bb0b52d5b973
15c119e804950a
hex5efc4ccffbe1

104437713468385 has 32 divisors (see below), whose sum is σ = 144761649133824. Its totient is φ = 71486320128000.

The previous prime is 104437713468371. The next prime is 104437713468391. The reversal of 104437713468385 is 583864317734401.

It is a de Polignac number, because none of the positive numbers 2k-104437713468385 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216146665 + ... + 216629305.

It is an arithmetic number, because the mean of its divisors is an integer number (4523801535432).

Almost surely, 2104437713468385 is an apocalyptic number.

It is an amenable number.

104437713468385 is a deficient number, since it is larger than the sum of its proper divisors (40323935665439).

104437713468385 is a wasteful number, since it uses less digits than its factorization.

104437713468385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714105.

The product of its (nonzero) digits is 162570240, while the sum is 64.

The spelling of 104437713468385 in words is "one hundred four trillion, four hundred thirty-seven billion, seven hundred thirteen million, four hundred sixty-eight thousand, three hundred eighty-five".

Divisors: 1 5 11 17 55 85 187 935 231431 482641 1157155 2413205 2545741 3934327 5309051 8204897 12728705 19671635 26545255 41024485 43277597 90253867 216387985 451269335 111698089271 558490446355 1228678981981 1898867517607 6143394909905 9494337588035 20887542693677 104437713468385