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8942346864 = 243411627269
BaseRepresentation
bin10000101010000000…
…10110001001110000
3212002012121021210000
420111000112021300
5121303220044424
64035201310000
7434412460053
oct102500261160
925065537700
108942346864
1138797a3610
121896935300
13ac6845609
1460b8c8a9a
153750de3c9
hex215016270

8942346864 has 100 divisors (see below), whose sum is σ = 28234677240. Its totient is φ = 2709797760.

The previous prime is 8942346863. The next prime is 8942346883. The reversal of 8942346864 is 4686432498.

8942346864 is a `hidden beast` number, since 89 + 42 + 3 + 468 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8942346864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8942346863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 299379 + ... + 327890.

Almost surely, 28942346864 is an apocalyptic number.

It is an amenable number.

8942346864 is an abundant number, since it is smaller than the sum of its proper divisors (19292330376).

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

8942346864 is a wasteful number, since it uses less digits than its factorization.

8942346864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627300 (or 627285 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 8942346864 is about 94563.9829110428. The cubic root of 8942346864 is about 2075.6326992270.

The spelling of 8942346864 in words is "eight billion, nine hundred forty-two million, three hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 627269 1254538 1881807 2509076 3763614 5018152 5645421 6899959 7527228 10036304 11290842 13799918 15054456 16936263 20699877 22581684 27599836 30108912 33872526 41399754 45163368 50808789 55199672 62099631 67745052 82799508 90326736 101617578 110399344 124199262 135490104 165599016 186298893 203235156 248398524 270980208 331198032 372597786 406470312 496797048 558896679 745195572 812940624 993594096 1117793358 1490391144 2235586716 2980782288 4471173432 8942346864