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86766016764 = 2237375727847
BaseRepresentation
bin101000011001110101…
…0000101100011111100
322021221212120100010110
41100303222011203330
52410144100014024
6103505412510020
76161066655000
oct1206352054374
9267855510113
1086766016764
1133885177679
121499591b310
138249b1572b
1442b15c8700
1523cc4b9629
hex1433a858fc

86766016764 has 96 divisors (see below), whose sum is σ = 236418380800. Its totient is φ = 24756653376.

The previous prime is 86766016747. The next prime is 86766016783. The reversal of 86766016764 is 46761066768.

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, 3101889 + ... + 3129735.

Almost surely, 286766016764 is an apocalyptic number.

86766016764 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86766016764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118209190400).

86766016764 is an abundant number, since it is smaller than the sum of its proper divisors (149652364036).

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

86766016764 is a wasteful number, since it uses less digits than its factorization.

86766016764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28632 (or 28616 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 86766016764 in words is "eighty-six billion, seven hundred sixty-six million, sixteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 757 1029 1372 1514 2058 2271 3028 4116 4542 5299 9084 10598 15897 21196 27847 31794 37093 55694 63588 74186 83541 111279 111388 148372 167082 194929 222558 259651 334164 389858 445116 519302 584787 778953 779716 1038604 1169574 1364503 1557906 2339148 2729006 3115812 4093509 5458012 8187018 9551521 16374036 19103042 21080179 28654563 38206084 42160358 57309126 63240537 84320716 114618252 126481074 147561253 252962148 295122506 442683759 590245012 885367518 1032928771 1770735036 2065857542 3098786313 4131715084 6197572626 7230501397 12395145252 14461002794 21691504191 28922005588 43383008382 86766016764