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130024496074896 = 2433719418612837
BaseRepresentation
bin11101100100000110101111…
…111001101001000010010000
3122001101012221200200211022000
4131210012233321221002100
5114020310131443344041
61140312232345514000
736246650140000443
oct3544065771510220
9561335850624260
10130024496074896
1138480096336925
12126bb7507a2900
135772346590b67
14241730d64b65a
15100737edc9bb6
hex7641afe69090

130024496074896 has 80 divisors (see below), whose sum is σ = 373737541766400. Its totient is φ = 43281218339712.

The previous prime is 130024496074817. The next prime is 130024496074939. The reversal of 130024496074896 is 698470694420031.

It is a happy number.

130024496074896 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 449 + 60 + 7 + 48 + 96 = 666.

It is a super-5 number, since 5×1300244960748965 (a number of 72 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208995811 + ... + 209617026.

It is an arithmetic number, because the mean of its divisors is an integer number (4671719272080).

Almost surely, 2130024496074896 is an apocalyptic number.

130024496074896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130024496074896 is an abundant number, since it is smaller than the sum of its proper divisors (243713045691504).

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

130024496074896 is a wasteful number, since it uses less digits than its factorization.

130024496074896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418613573 (or 418613561 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 130024496074896 in words is "one hundred thirty trillion, twenty-four billion, four hundred ninety-six million, seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 719 1438 2157 2876 4314 5752 6471 8628 11504 12942 17256 19413 25884 34512 38826 51768 77652 103536 155304 310608 418612837 837225674 1255838511 1674451348 2511677022 3348902696 3767515533 5023354044 6697805392 7535031066 10046708088 11302546599 15070062132 20093416176 22605093198 30140124264 45210186396 60280248528 90420372792 180840745584 300982629803 601965259606 902947889409 1203930519212 1805895778818 2407861038424 2708843668227 3611791557636 4815722076848 5417687336454 7223583115272 8126531004681 10835374672908 14447166230544 16253062009362 21670749345816 32506124018724 43341498691632 65012248037448 130024496074896