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104125239133920 = 2532572309193843
BaseRepresentation
bin10111101011001110001011…
…111001000000011011100000
3111122200021102221112102100100
4113223032023321000123200
5102121441442204241140
61005242250254022400
730634541331212604
oct2753161371003340
9448607387472310
10104125239133920
11301a52a1a51804
12b818203aa7a00
134613c77694184
141b9d98d207504
15c0880a671530
hex5eb38be406e0

104125239133920 has 72 divisors (see below), whose sum is σ = 355327378549416. Its totient is φ = 27766730435328.

The previous prime is 104125239133871. The next prime is 104125239133939. The reversal of 104125239133920 is 29331932521401.

104125239133920 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 523 + 9 + 1 + 33 + 92 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36154595482 + ... + 36154598361.

It is an arithmetic number, because the mean of its divisors is an integer number (4935102479853).

Almost surely, 2104125239133920 is an apocalyptic number.

104125239133920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104125239133920 is an abundant number, since it is smaller than the sum of its proper divisors (251202139415496).

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

104125239133920 is a wasteful number, since it uses less digits than its factorization.

104125239133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72309193864 (or 72309193853 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 104125239133920 in words is "one hundred four trillion, one hundred twenty-five billion, two hundred thirty-nine million, one hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 72309193843 144618387686 216927581529 289236775372 361545969215 433855163058 578473550744 650782744587 723091938430 867710326116 1084637907645 1156947101488 1301565489174 1446183876860 1735420652232 2169275815290 2313894202976 2603130978348 2892367753720 3253913722935 3470841304464 4338551630580 5206261956696 5784735507440 6507827445870 6941682608928 8677103261160 10412523913392 11569471014880 13015654891740 17354206522320 20825047826784 26031309783480 34708413044640 52062619566960 104125239133920