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8674664768 = 267111760281
BaseRepresentation
bin10000001010000110…
…01110000101000000
3211101112220121222022
420011003032011000
5120231203233033
63552440101012
7424652301560
oct100503160500
924345817868
108674664768
113751693040
121821164768
13a83251843
145c4128da0
1535b866098
hex2050ce140

8674664768 has 56 divisors (see below), whose sum is σ = 21461358144. Its totient is φ = 3379737600.

The previous prime is 8674664729. The next prime is 8674664771.

8674664768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 8674664768.

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, 875213 + ... + 885068.

Almost surely, 28674664768 is an apocalyptic number.

8674664768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8674664768 is an abundant number, since it is smaller than the sum of its proper divisors (12786693376).

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

8674664768 is a wasteful number, since it uses less digits than its factorization.

8674664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760311 (or 1760301 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 62.

The square root of 8674664768 is about 93137.8804139325. The cubic root of 8674664768 is about 2054.7117296025.

The spelling of 8674664768 in words is "eight billion, six hundred seventy-four million, six hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 1760281 3520562 7041124 12321967 14082248 19363091 24643934 28164496 38726182 49287868 56328992 77452364 98575736 112657984 135541637 154904728 197151472 271083274 309809456 394302944 542166548 619618912 788605888 1084333096 1239237824 2168666192 4337332384 8674664768