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680013407160 = 233253160933101
BaseRepresentation
bin10011110010100111111…
…01010010001110111000
32102000020022012021122200
421321103331102032320
542120131413012120
61240221023150200
7100062236406363
oct11712375221670
92360208167580
10680013407160
1124243492767a
12ab95b145360
134c1817a7949
1424cacb0d0da
1512a4e5d8e90
hex9e53f523b8

680013407160 has 96 divisors (see below), whose sum is σ = 2281335338880. Its totient is φ = 175487328000.

The previous prime is 680013407147. The next prime is 680013407197. The reversal of 680013407160 is 61704310086.

680013407160 is a `hidden beast` number, since 6 + 80 + 0 + 13 + 407 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30455391 + ... + 30477710.

It is an arithmetic number, because the mean of its divisors is an integer number (23763909780).

Almost surely, 2680013407160 is an apocalyptic number.

680013407160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680013407160 is an abundant number, since it is smaller than the sum of its proper divisors (1601321931720).

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

680013407160 is a wasteful number, since it uses less digits than its factorization.

680013407160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60933149 (or 60933142 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 680013407160 in words is "six hundred eighty billion, thirteen million, four hundred seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 60933101 121866202 182799303 243732404 304665505 365598606 487464808 548397909 609331010 731197212 913996515 1096795818 1218662020 1462394424 1827993030 1888926131 2193591636 2437324040 2741989545 3655986060 3777852262 4387183272 5483979090 5666778393 7311972120 7555704524 9444630655 10967958180 11333556786 15111409048 17000335179 18889261310 21935916360 22667113572 28333891965 34000670358 37778522620 45334227144 56667783930 68001340716 75557045240 85001675895 113335567860 136002681432 170003351790 226671135720 340006703580 680013407160