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86979618132 = 2231110912234943
BaseRepresentation
bin101000100000001100…
…0111010010101010100
322022111202111102010020
41101000120322111110
52411113240240012
6103542523025140
76166302361341
oct1210030722524
9268452442106
1086979618132
11339847aa530
1214a3536b1b0
138282152884
1442d1b0b7c8
1523e110da8c
hex144063a554

86979618132 has 96 divisors (see below), whose sum is σ = 223661813760. Its totient is φ = 26089015680.

The previous prime is 86979618101. The next prime is 86979618137. The reversal of 86979618132 is 23181697968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86979618137) 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, 17594053 + ... + 17598995.

It is an arithmetic number, because the mean of its divisors is an integer number (2329810560).

Almost surely, 286979618132 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 86979618132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111830906880).

86979618132 is an abundant number, since it is smaller than the sum of its proper divisors (136682195628).

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

86979618132 is a wasteful number, since it uses less digits than its factorization.

86979618132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6291 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The spelling of 86979618132 in words is "eighty-six billion, nine hundred seventy-nine million, six hundred eighteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1223 1308 2398 2446 3597 3669 4796 4892 4943 7194 7338 9886 13453 14388 14676 14829 19772 26906 29658 40359 53812 54373 59316 80718 108746 133307 161436 163119 217492 266614 326238 399921 533228 538787 652476 799842 1077574 1466377 1599684 1616361 2155148 2932754 3232722 4399131 5865508 5926657 6045289 6465444 8798262 11853314 12090578 17596524 17779971 18135867 23706628 24181156 35559942 36271734 66498179 71119884 72543468 132996358 199494537 265992716 398989074 658936501 797978148 1317873002 1976809503 2635746004 3953619006 7248301511 7907238012 14496603022 21744904533 28993206044 43489809066 86979618132