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115070700680 = 23513242140433
BaseRepresentation
bin110101100101010111…
…1111000110010001000
3102000000110211021000222
41223022233320302020
53341131044410210
6124510204245212
711212362550235
oct1531257706210
9360013737028
10115070700680
114488a457631
121a374b40808
13ab0abb1200
1457d880a78c
152ed7367655
hex1acabf8c88

115070700680 has 96 divisors (see below), whose sum is σ = 281030047560. Its totient is φ = 42385674240.

The previous prime is 115070700677. The next prime is 115070700691. The reversal of 115070700680 is 86007070511.

It can be written as a sum of positive squares in 12 ways, for example, as 39409396324 + 75661304356 = 198518^2 + 275066^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115070700680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2825744 + ... + 2866176.

Almost surely, 2115070700680 is an apocalyptic number.

115070700680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115070700680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140515023780).

115070700680 is an abundant number, since it is smaller than the sum of its proper divisors (165959346880).

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

115070700680 is a wasteful number, since it uses less digits than its factorization.

115070700680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40891 (or 40874 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The spelling of 115070700680 in words is "one hundred fifteen billion, seventy million, seven hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 421 520 676 842 845 1352 1684 1690 2105 3368 3380 4210 5473 6760 8420 10946 16840 21892 27365 40433 43784 54730 71149 80866 109460 142298 161732 202165 218920 284596 323464 355745 404330 525629 569192 711490 808660 1051258 1422980 1617320 2102516 2628145 2845960 4205032 5256290 6833177 10512580 13666354 17022293 21025160 27332708 34044586 34165885 54665416 68089172 68331770 85111465 136178344 136663540 170222930 221289809 273327080 340445860 442579618 680891720 885159236 1106449045 1770318472 2212898090 2876767517 4425796180 5753535034 8851592360 11507070068 14383837585 23014140136 28767675170 57535350340 115070700680