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86334295806 = 232111313328487
BaseRepresentation
bin101000001100111101…
…1001100111011111110
322020211210012122022100
41100121323030323332
52403303034431211
6103354511325530
76144305256213
oct1203173147376
9266753178270
1086334295806
11336835062a0
12148952208a6
1381ab548a45
144270127b0a
1523a463c156
hex1419eccefe

86334295806 has 48 divisors (see below), whose sum is σ = 205620674688. Its totient is φ = 25962190800.

The previous prime is 86334295709. The next prime is 86334295819. The reversal of 86334295806 is 60859243368.

86334295806 is a `hidden beast` number, since 8 + 6 + 3 + 34 + 29 + 580 + 6 = 666.

It is a super-2 number, since 2×863342958062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638306 + ... + 1690181.

It is an arithmetic number, because the mean of its divisors is an integer number (4283764056).

Almost surely, 286334295806 is an apocalyptic number.

86334295806 is an abundant number, since it is smaller than the sum of its proper divisors (119286378882).

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

86334295806 is a wasteful number, since it uses less digits than its factorization.

86334295806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328637 (or 3328634 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 86334295806 in words is "eighty-six billion, three hundred thirty-four million, two hundred ninety-five thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 8646 12969 25938 3328487 6656974 9985461 19970922 29956383 36613357 59912766 73226714 109840071 219680142 329520213 436031797 659040426 872063594 1308095391 2616190782 3924286173 4796349767 7848572346 9592699534 14389049301 28778098602 43167147903 86334295806