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86576930136 = 23332922760887
BaseRepresentation
bin101000010100001100…
…0110001110101011000
322021110200202202001000
41100220120301311120
52404302143231021
6103434540025000
76153312523014
oct1205030616530
9267420682030
1086576930136
1133798469034
1214942532160
1382198ac958
144294447544
1523baab8b26
hex1428631d58

86576930136 has 128 divisors (see below), whose sum is σ = 249884352000. Its totient is φ = 27740635776.

The previous prime is 86576930123. The next prime is 86576930213. The reversal of 86576930136 is 63103967568.

86576930136 is a `hidden beast` number, since 8 + 6 + 576 + 9 + 30 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391485 + ... + 1452371.

It is an arithmetic number, because the mean of its divisors is an integer number (1952221500).

Almost surely, 286576930136 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 86576930136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124942176000).

86576930136 is an abundant number, since it is smaller than the sum of its proper divisors (163307421864).

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

86576930136 is a wasteful number, since it uses less digits than its factorization.

86576930136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61158 (or 61148 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 86576930136 in words is "eighty-six billion, five hundred seventy-six million, nine hundred thirty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 227 232 261 348 454 522 681 696 783 908 1044 1362 1566 1816 2043 2088 2724 3132 4086 5448 6129 6264 6583 8172 12258 13166 16344 19749 24516 26332 39498 49032 52664 59247 60887 78996 118494 121774 157992 177741 182661 236988 243548 355482 365322 473976 487096 547983 710964 730644 1095966 1421928 1461288 1643949 1765723 2191932 3287898 3531446 4383864 5297169 6575796 7062892 10594338 13151592 13821349 14125784 15891507 21188676 27642698 31783014 41464047 42377352 47674521 55285396 63566028 82928094 95349042 110570792 124392141 127132056 165856188 190698084 248784282 331712376 373176423 381396168 400819121 497568564 746352846 801638242 995137128 1202457363 1492705692 1603276484 2404914726 2985411384 3206552968 3607372089 4809829452 7214744178 9619658904 10822116267 14429488356 21644232534 28858976712 43288465068 86576930136