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86365377356368 = 24114111968594423
BaseRepresentation
bin10011101000110010000001…
…101000110110001001010000
3102022210110010122100102012111
4103220302001220312021100
542310002243100400433
6503403412344235104
724122456363661535
oct2350620150661120
9368713118312174
1086365377356368
1125578394a82320
12982a23216ba94
1339262b2850466
14174816c5c8d8c
159eb865928dcd
hex4e8c81a36250

86365377356368 has 40 divisors (see below), whose sum is σ = 186997319280576. Its totient is φ = 38299502150400.

The previous prime is 86365377356353. The next prime is 86365377356417.

86365377356368 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86365377356294 and 86365377356303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5984289996 + ... + 5984304427.

Almost surely, 286365377356368 is an apocalyptic number.

86365377356368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86365377356368 is an abundant number, since it is smaller than the sum of its proper divisors (100631941924208).

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

86365377356368 is a wasteful number, since it uses less digits than its factorization.

86365377356368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968594483 (or 11968594477 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 76.

The spelling of 86365377356368 in words is "eighty-six trillion, three hundred sixty-five billion, three hundred seventy-seven million, three hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 11968594423 23937188846 47874377692 95748755384 131654538653 191497510768 263309077306 490712371343 526618154612 981424742686 1053236309224 1962849485372 2106472618448 3925698970744 5397836084773 7851397941488 10795672169546 21591344339092 43182688678184 86365377356368