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10003876464 = 2431991047307
BaseRepresentation
bin10010101000100011…
…10000101001110000
3221211012001120122010
421110101300221300
5130441443021324
64332401442520
7502622355411
oct112421605160
927735046563
1010003876464
114273a224aa
121b32340440
13c35746a3a
146ac891808
153d83c6829
hex254470a70

10003876464 has 40 divisors (see below), whose sum is σ = 25973238400. Its totient is φ = 3317865408.

The previous prime is 10003876451. The next prime is 10003876469. The reversal of 10003876464 is 46467830001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003876469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 514102 + ... + 533205.

It is an arithmetic number, because the mean of its divisors is an integer number (649330960).

Almost surely, 210003876464 is an apocalyptic number.

It is an amenable number.

10003876464 is an abundant number, since it is smaller than the sum of its proper divisors (15969361936).

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

10003876464 is a wasteful number, since it uses less digits than its factorization.

10003876464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047517 (or 1047511 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10003876464 in words is "ten billion, three million, eight hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 199 398 597 796 1194 1592 2388 3184 4776 9552 1047307 2094614 3141921 4189228 6283842 8378456 12567684 16756912 25135368 50270736 208414093 416828186 625242279 833656372 1250484558 1667312744 2500969116 3334625488 5001938232 10003876464