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157379416094980 = 22541732629124893
BaseRepresentation
bin100011110010001011000000…
…001100001111100100000100
3202122020022210002202102110001
4203302023000030033210010
5131112001021010014410
61314415034453211044
745102200433464662
oct4362130014174404
9678208702672401
10157379416094980
1146167265570452
1215799228030a84
1369a7a7a176201
142ac12c0b75c32
15132dbee3bc33a
hex8f22c030f904

157379416094980 has 48 divisors (see below), whose sum is σ = 343195447163184. Its totient is φ = 60575037511680.

The previous prime is 157379416094909. The next prime is 157379416094981. The reversal of 157379416094980 is 89490614973751.

It can be written as a sum of positive squares in 8 ways, for example, as 10073666601216 + 147305749493764 = 3173904^2 + 12136958^2 .

It is a super-2 number, since 2×1573794160949802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is not an unprimeable number, because it can be changed into a prime (157379416094981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314502587 + ... + 1314622306.

It is an arithmetic number, because the mean of its divisors is an integer number (7149905149233).

Almost surely, 2157379416094980 is an apocalyptic number.

157379416094980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157379416094980 is an abundant number, since it is smaller than the sum of its proper divisors (185816031068204).

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

157379416094980 is a wasteful number, since it uses less digits than its factorization.

157379416094980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629125016 (or 2629125014 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 73.

The spelling of 157379416094980 in words is "one hundred fifty-seven trillion, three hundred seventy-nine billion, four hundred sixteen million, ninety-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 11972 14965 29930 59860 2629124893 5258249786 10516499572 13145624465 26291248930 52582497860 107794120613 191926117189 215588241226 383852234378 431176482452 538970603065 767704468756 959630585945 1077941206130 1919261171890 2155882412260 3838522343780 7868970804749 15737941609498 31475883218996 39344854023745 78689708047490 157379416094980