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10756489464 = 2332721342241
BaseRepresentation
bin10100000010010001…
…10000000011111000
31000202122020021120200
422001020300003320
5134012130130324
64535204522200
7530361436410
oct120110600370
930678207520
1010756489464
11461a837816
1221023b0360
131025647986
14740803640
1542e4dcec9
hex2812300f8

10756489464 has 48 divisors (see below), whose sum is σ = 33293897520. Its totient is φ = 3073282560.

The previous prime is 10756489459. The next prime is 10756489477. The reversal of 10756489464 is 46498465701.

10756489464 is a `hidden beast` number, since 10 + 7 + 564 + 8 + 9 + 4 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10756489464.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10670617 + ... + 10671624.

It is an arithmetic number, because the mean of its divisors is an integer number (693622865).

Almost surely, 210756489464 is an apocalyptic number.

10756489464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10756489464 is an abundant number, since it is smaller than the sum of its proper divisors (22537408056).

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

10756489464 is a wasteful number, since it uses less digits than its factorization.

10756489464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342260 (or 21342253 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10756489464 in words is "ten billion, seven hundred fifty-six million, four hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 21342241 42684482 64026723 85368964 128053446 149395687 170737928 192080169 256106892 298791374 384160338 448187061 512213784 597582748 768320676 896374122 1195165496 1344561183 1536641352 1792748244 2689122366 3585496488 5378244732 10756489464