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104997712320 = 2633512152513
BaseRepresentation
bin110000111001001011…
…0011111000111000000
3101001000110201102201000
41201302112133013000
53210013403243240
6120122453212000
710404640554234
oct1416226370700
9331013642630
10104997712320
1140590520366
1218423631000
139b94049c77
145120ac85c4
152ae7d8d430
hex187259f1c0

104997712320 has 112 divisors (see below), whose sum is σ = 370408626720. Its totient is φ = 27999387648.

The previous prime is 104997712273. The next prime is 104997712327. The reversal of 104997712320 is 23217799401.

104997712320 is a `hidden beast` number, since 10 + 499 + 7 + 7 + 123 + 20 = 666.

It is a super-2 number, since 2×1049977123202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104997712327) 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 15 ways as a sum of consecutive naturals, for example, 6067617 + ... + 6084896.

Almost surely, 2104997712320 is an apocalyptic number.

104997712320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104997712320 is an abundant number, since it is smaller than the sum of its proper divisors (265410914400).

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

104997712320 is a wasteful number, since it uses less digits than its factorization.

104997712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152539 (or 12152523 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 104997712320 in words is "one hundred four billion, nine hundred ninety-seven million, seven hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 12152513 24305026 36457539 48610052 60762565 72915078 97220104 109372617 121525130 145830156 182287695 194440208 218745234 243050260 291660312 328117851 364575390 388880416 437490468 486100520 546863085 583320624 656235702 729150780 777760832 874980936 972201040 1093726170 1166641248 1312471404 1458301560 1640589255 1749961872 1944402080 2187452340 2333282496 2624942808 2916603120 3281178510 3499923744 3888804160 4374904680 5249885616 5833206240 6562357020 6999847488 8749809360 10499771232 11666412480 13124714040 17499618720 20999542464 26249428080 34999237440 52498856160 104997712320