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86086767630066 = 23743343313884967
BaseRepresentation
bin10011100100101110100011…
…001101000101011011110010
3102021210210222211222212200120
4103210232203031011123302
542240421200003130231
6503031414243031110
724063364232246160
oct2344564315053362
9367723884885616
1086086767630066
1125480214060275
1297a423836b496
133905c41450b48
14173889c26c230
159e44ab0a8d96
hex4e4ba33456f2

86086767630066 has 64 divisors (see below), whose sum is σ = 201404459993088. Its totient is φ = 24017214469248.

The previous prime is 86086767630053. The next prime is 86086767630089. The reversal of 86086767630066 is 66003676768068.

86086767630066 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 742486 + ... + 13142481.

It is an arithmetic number, because the mean of its divisors is an integer number (3146944687392).

Almost surely, 286086767630066 is an apocalyptic number.

86086767630066 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 86086767630066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100702229996544).

86086767630066 is an abundant number, since it is smaller than the sum of its proper divisors (115317692363022).

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

86086767630066 is a wasteful number, since it uses less digits than its factorization.

86086767630066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13888455.

The product of its (nonzero) digits is 438939648, while the sum is 69.

The spelling of 86086767630066 in words is "eighty-six trillion, eighty-six billion, seven hundred sixty-seven million, six hundred thirty thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 3433 6866 10299 20598 24031 48062 72093 144186 147619 295238 442857 885714 1033333 2066666 3099999 6199998 13884967 27769934 41654901 83309802 97194769 194389538 291584307 583168614 597053581 1194107162 1791160743 3582321486 4179375067 8358750134 12538125201 25076250402 47667091711 95334183422 143001275133 286002550266 333669641977 667339283954 1001008925931 2002017851862 2049684943573 4099369887146 6149054830719 12298109661438 14347794605011 28695589210022 43043383815033 86086767630066