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87767365060 = 225175335913567
BaseRepresentation
bin101000110111101010…
…1111011010111000100
322101112122210002202101
41101233111323113010
52414221421140220
6104153023121444
76224646202534
oct1215725732704
9271478702671
1087767365060
1134249431451
1215015143284
13837940550b
1443685a74c4
15243a36530a
hex146f57b5c4

87767365060 has 96 divisors (see below), whose sum is σ = 199404011520. Its totient is φ = 32325715968.

The previous prime is 87767365033. The next prime is 87767365067. The reversal of 87767365060 is 6056376778.

It is a super-2 number, since 2×877673650602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87767364992 and 87767365010.

It is not an unprimeable number, because it can be changed into a prime (87767365067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6462397 + ... + 6475963.

It is an arithmetic number, because the mean of its divisors is an integer number (2077125120).

Almost surely, 287767365060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87767365060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99702005760).

87767365060 is an abundant number, since it is smaller than the sum of its proper divisors (111636646460).

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

87767365060 is a wasteful number, since it uses less digits than its factorization.

87767365060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005 (or 14003 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 87767365060 in words is "eighty-seven billion, seven hundred sixty-seven million, three hundred sixty-five thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 359 530 718 901 1060 1436 1795 1802 3590 3604 4505 6103 7180 9010 12206 13567 18020 19027 24412 27134 30515 38054 54268 61030 67835 76108 95135 122060 135670 190270 230639 271340 323459 380540 461278 646918 719051 922556 1153195 1293836 1438102 1617295 2306390 2876204 3234590 3595255 4612780 4870553 6469180 7190510 9741106 12223867 14381020 19482212 24352765 24447734 48705530 48895468 61119335 82799401 97411060 122238670 165598802 244477340 258139309 331197604 413997005 516278618 827994010 1032557236 1290696545 1655988020 2581393090 4388368253 5162786180 8776736506 17553473012 21941841265 43883682530 87767365060