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10381232624 = 2477110871201
BaseRepresentation
bin10011010101100010…
…10000100111110000
3222210111010020222012
421222301100213300
5132230043420444
64434041502052
7515154010220
oct115261204760
928714106865
1010381232624
114447a317a4
1220187a1928
13c9598a6c9
14706a40080
1540b5b5b9e
hex26ac509f0

10381232624 has 80 divisors (see below), whose sum is σ = 23351648256. Its totient is φ = 4378752000.

The previous prime is 10381232621. The next prime is 10381232639. The reversal of 10381232624 is 42623218301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381232621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8643224 + ... + 8644424.

Almost surely, 210381232624 is an apocalyptic number.

10381232624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10381232624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675824128).

10381232624 is an abundant number, since it is smaller than the sum of its proper divisors (12970415632).

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

10381232624 is a wasteful number, since it uses less digits than its factorization.

10381232624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 10381232624 in words is "ten billion, three hundred eighty-one million, two hundred thirty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1087 1136 1201 1988 2174 2402 3976 4348 4804 7609 7952 8407 8696 9608 15218 16814 17392 19216 30436 33628 60872 67256 77177 85271 121744 134512 154354 170542 308708 341084 540239 596897 617416 682168 1080478 1193794 1234832 1305487 1364336 2160956 2387588 2610974 4321912 4775176 5221948 8643824 9138409 9550352 10443896 18276818 20887792 36553636 73107272 92689577 146214544 185379154 370758308 648827039 741516616 1297654078 1483033232 2595308156 5190616312 10381232624