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87679721376 = 2534132602081
BaseRepresentation
bin101000110101000011…
…1100101111110100000
322101022112212100020000
41101222013211332200
52414032002041001
6104140212420000
76222533222562
oct1215207457640
9271275770200
1087679721376
1134203a0a455
1214bab917600
1383641c9c50
14435aab1332
152432801a86
hex146a1e5fa0

87679721376 has 120 divisors (see below), whose sum is σ = 277699395204. Its totient is φ = 26978365440.

The previous prime is 87679721359. The next prime is 87679721387. The reversal of 87679721376 is 67312797678.

It can be written as a sum of positive squares in 2 ways, for example, as 87675210000 + 4511376 = 296100^2 + 2124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1267345 + ... + 1334736.

Almost surely, 287679721376 is an apocalyptic number.

It is an amenable number.

87679721376 is an abundant number, since it is smaller than the sum of its proper divisors (190019673828).

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

87679721376 is a wasteful number, since it uses less digits than its factorization.

87679721376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602116 (or 2602099 counting only the distinct ones).

The product of its digits is 37340352, while the sum is 63.

The spelling of 87679721376 in words is "eighty-seven billion, six hundred seventy-nine million, seven hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 2602081 5204162 7806243 10408324 15612486 20816648 23418729 31224972 33827053 41633296 46837458 62449944 67654106 70256187 83266592 93674916 101481159 124899888 135308212 140512374 187349832 202962318 210768561 249799776 270616424 281024748 304443477 374699664 405924636 421537122 541232848 562049496 608886954 749399328 811849272 843074244 913330431 1082465696 1124098992 1217773908 1623698544 1686148488 1826660862 2248197984 2435547816 2739991293 3247397088 3372296976 3653321724 4871095632 5479982586 6744593952 7306643448 9742191264 10959965172 14613286896 21919930344 29226573792 43839860688 87679721376