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10344516644 = 2271141819173
BaseRepresentation
bin10011010001001010…
…01100110000100100
3222200221000220010002
421220211030300210
5132141144013034
64430250520432
7514226640440
oct115045146044
928627026102
1010344516644
114429234510
122008436118
13c8b1a3887
14701c03820
15408261e7e
hex26894cc24

10344516644 has 48 divisors (see below), whose sum is σ = 23120366976. Its totient is φ = 3932025600.

The previous prime is 10344516631. The next prime is 10344516667. The reversal of 10344516644 is 44661544301.

It is a junction number, because it is equal to n+sod(n) for n = 10344516598 and 10344516607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396959 + ... + 422214.

It is an arithmetic number, because the mean of its divisors is an integer number (481674312).

Almost surely, 210344516644 is an apocalyptic number.

10344516644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10344516644 is an abundant number, since it is smaller than the sum of its proper divisors (12775850332).

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

10344516644 is a wasteful number, since it uses less digits than its factorization.

10344516644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819236 (or 819234 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 10344516644 in words is "ten billion, three hundred forty-four million, five hundred sixteen thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 3157 6314 12628 819173 1638346 3276692 5734211 9010903 11468422 18021806 22936844 33586093 36043612 63076321 67172186 126152642 134344372 235102651 252305284 369447023 470205302 738894046 940410604 1477788092 2586129161 5172258322 10344516644