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86939610054 = 231124110872687
BaseRepresentation
bin101000011111000000…
…0010010101111000110
322022101222012210100120
41100332000102233012
52411023020010204
6103534533322410
76165305330613
oct1207600225706
9268358183316
1086939610054
1133964163900
1214a23a96406
138276a8545b
1442ca69550a
1523dc8596d9
hex143e012bc6

86939610054 has 96 divisors (see below), whose sum is σ = 196038033408. Its totient is φ = 25669564800.

The previous prime is 86939610041. The next prime is 86939610073. The reversal of 86939610054 is 45001693968.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86939609979 and 86939610006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32354299 + ... + 32356985.

It is an arithmetic number, because the mean of its divisors is an integer number (2042062848).

Almost surely, 286939610054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86939610054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98019016704).

86939610054 is an abundant number, since it is smaller than the sum of its proper divisors (109098423354).

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

86939610054 is a wasteful number, since it uses less digits than its factorization.

86939610054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 86939610054 in words is "eighty-six billion, nine hundred thirty-nine million, six hundred ten thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1087 1353 2174 2687 2706 3261 4961 5374 6522 8061 9922 11957 14883 16122 23914 29557 29766 35871 44567 59114 71742 88671 89134 110167 131527 133701 177342 220334 263054 267402 325127 330501 394581 490237 650254 661002 789162 975381 980474 1211837 1470711 1950762 2423674 2920769 2941422 3635511 5392607 5841538 7271022 8762307 10785214 13330207 16177821 17524614 26660414 32128459 32355642 39990621 64256918 79981242 96385377 119751529 192770754 239503058 353413049 359254587 706826098 718509174 1060239147 1317266819 2120478294 2634533638 3951800457 7903600914 14489935009 28979870018 43469805027 86939610054