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86716938800808 = 2335331134765797
BaseRepresentation
bin10011101101111001011100…
…010101010100111010101000
3102101001001120120020012200000
4103231321130111110322220
542331232242313111213
6504233113422143000
724160043403646131
oct2355713425247250
9371031516205600
1086716938800808
11256a34a1279a18
1298863a7421a60
1339504aba755b4
14175b19d596c88
15a05a8eab2c73
hex4ede5c554ea8

86716938800808 has 96 divisors (see below), whose sum is σ = 244292657350560. Its totient is φ = 28818317816640.

The previous prime is 86716938800803. The next prime is 86716938800813. The reversal of 86716938800808 is 80800883961768.

86716938800808 is a `hidden beast` number, since 8 + 6 + 7 + 169 + 388 + 0 + 0 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86716938800803) and next prime (86716938800813).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (86716938800803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66739435 + ... + 68026362.

It is an arithmetic number, because the mean of its divisors is an integer number (2544715180735).

Almost surely, 286716938800808 is an apocalyptic number.

It is an amenable number.

86716938800808 is an abundant number, since it is smaller than the sum of its proper divisors (157575718549752).

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

86716938800808 is a wasteful number, since it uses less digits than its factorization.

86716938800808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134766149 (or 134766133 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 86716938800808 in words is "eighty-six trillion, seven hundred sixteen billion, nine hundred thirty-eight million, eight hundred thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 331 486 648 662 972 993 1324 1944 1986 2648 2979 3972 5958 7944 8937 11916 17874 23832 26811 35748 53622 71496 80433 107244 160866 214488 321732 643464 134765797 269531594 404297391 539063188 808594782 1078126376 1212892173 1617189564 2425784346 3234379128 3638676519 4851568692 7277353038 9703137384 10916029557 14554706076 21832059114 29109412152 32748088671 43664118228 44607478807 65496177342 87328236456 89214957614 130992354684 133822436421 178429915228 261984709368 267644872842 356859830456 401467309263 535289745684 802934618526 1070579491368 1204401927789 1605869237052 2408803855578 3211738474104 3613205783367 4817607711156 7226411566734 9635215422312 10839617350101 14452823133468 21679234700202 28905646266936 43358469400404 86716938800808