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87316561121505 = 35172832089757901
BaseRepresentation
bin10011110110100111111000…
…100110111101000011100001
3102110011101022021102011112220
4103312213320212331003201
542421043304121342010
6505412401401341253
724251261532405252
oct2366477046750341
9373141267364486
1087316561121505
1125904822462461
12996264b797829
133994bbb3a8011
14177c203606b29
15a164866ca970
hex4f69f89bd0e1

87316561121505 has 64 divisors (see below), whose sum is σ = 148456896277248. Its totient is φ = 43671770726400.

The previous prime is 87316561121453. The next prime is 87316561121507. The reversal of 87316561121505 is 50512116561378.

It is a de Polignac number, because none of the positive numbers 2k-87316561121505 is a prime.

It is a super-4 number, since 4×873165611215054 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (87316561121507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508003055 + ... + 1508060955.

It is an arithmetic number, because the mean of its divisors is an integer number (2319639004332).

Almost surely, 287316561121505 is an apocalyptic number.

87316561121505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87316561121505 is a deficient number, since it is larger than the sum of its proper divisors (61140335155743).

87316561121505 is a wasteful number, since it uses less digits than its factorization.

87316561121505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79106.

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 87316561121505 in words is "eighty-seven trillion, three hundred sixteen billion, five hundred sixty-one million, one hundred twenty-one thousand, five hundred five".

Divisors: 1 3 5 15 17 51 85 255 283 849 1415 4245 4811 14433 20897 24055 57901 62691 72165 104485 173703 289505 313455 355249 868515 984317 1065747 1776245 2952951 4921585 5328735 5913851 14764755 16385983 17741553 29569255 49157949 81929915 88707765 100535467 245789745 278561711 301606401 502677335 835685133 1209957197 1392808555 1508032005 3629871591 4178425665 6049785985 18149357955 20569272349 61707817047 102846361745 308539085235 342417886751 1027253660253 1712089433755 5136268301265 5821104074767 17463312224301 29105520373835 87316561121505