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10427744360 = 2351156941651
BaseRepresentation
bin10011011011000101…
…01100000001101000
3222220201122022002002
421231202230001220
5132324000304420
64442422430132
7516260236025
oct115542540150
928821568062
1010427744360
11447120a750
122030292348
13ca24c4147
1470ccaa54c
15410702075
hex26d8ac068

10427744360 has 64 divisors (see below), whose sum is σ = 25640971200. Its totient is φ = 3785152000.

The previous prime is 10427744357. The next prime is 10427744377. The reversal of 10427744360 is 6344772401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229535 + ... + 271185.

It is an arithmetic number, because the mean of its divisors is an integer number (400640175).

Almost surely, 210427744360 is an apocalyptic number.

10427744360 is a gapful number since it is divisible by the number (10) 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 10427744360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12820485600).

10427744360 is an abundant number, since it is smaller than the sum of its proper divisors (15213226840).

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

10427744360 is a wasteful number, since it uses less digits than its factorization.

10427744360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42242 (or 42238 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 10427744360 in words is "ten billion, four hundred twenty-seven million, seven hundred forty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 569 1138 2276 2845 4552 5690 6259 11380 12518 22760 25036 31295 41651 50072 62590 83302 125180 166604 208255 250360 333208 416510 458161 833020 916322 1666040 1832644 2290805 3665288 4581610 9163220 18326440 23699419 47398838 94797676 118497095 189595352 236994190 260693609 473988380 521387218 947976760 1042774436 1303468045 2085548872 2606936090 5213872180 10427744360