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86913979464 = 233133759127609
BaseRepresentation
bin101000011110001111…
…0100001010001001000
322022100011222121210110
41100330132201101020
52410444434320324
6103532220114320
76164544431064
oct1207436412110
9268304877713
1086913979464
11339507481a4
1214a173959a0
138271680220
1442c7102aa4
1523da495329
hex143c7a1448

86913979464 has 128 divisors (see below), whose sum is σ = 244398672000. Its totient is φ = 25578768384.

The previous prime is 86913979441. The next prime is 86913979469. The reversal of 86913979464 is 46497931968.

It is a super-2 number, since 2×869139794642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86913979395 and 86913979404.

It is not an unprimeable number, because it can be changed into a prime (86913979469) 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, 617292 + ... + 744900.

It is an arithmetic number, because the mean of its divisors is an integer number (1909364625).

Almost surely, 286913979464 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 86913979464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122199336000).

86913979464 is an abundant number, since it is smaller than the sum of its proper divisors (157484692536).

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

86913979464 is a wasteful number, since it uses less digits than its factorization.

86913979464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127727 (or 127723 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 66.

The spelling of 86913979464 in words is "eighty-six billion, nine hundred thirteen million, nine hundred seventy-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 59 74 78 104 111 118 148 156 177 222 236 296 312 354 444 472 481 708 767 888 962 1416 1443 1534 1924 2183 2301 2886 3068 3848 4366 4602 5772 6136 6549 8732 9204 11544 13098 17464 18408 26196 28379 52392 56758 85137 113516 127609 170274 227032 255218 340548 382827 510436 681096 765654 1020872 1531308 1658917 3062616 3317834 4721533 4976751 6635668 7528931 9443066 9953502 13271336 14164599 15057862 18886132 19907004 22586793 28329198 30115724 37772264 39814008 45173586 56658396 60231448 61379929 90347172 97876103 113316792 122759858 180694344 184139787 195752206 245519716 278570447 293628309 368279574 391504412 491039432 557140894 587256618 736559148 783008824 835711341 1114281788 1174513236 1473118296 1671422682 2228563576 2349026472 3342845364 3621415811 6685690728 7242831622 10864247433 14485663244 21728494866 28971326488 43456989732 86913979464