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10009107460 = 22511423110753
BaseRepresentation
bin10010101001001011…
…01101110000000100
3221211112220100012201
421110211231300010
5130444312414320
64333105524244
7503015003212
oct112445556004
927745810181
1010009107460
114276975640
121b34043684
13c368589c1
146ad453cb2
153d8aab70a
hex25496dc04

10009107460 has 48 divisors (see below), whose sum is σ = 22937507712. Its totient is φ = 3638476800.

The previous prime is 10009107439. The next prime is 10009107467. The reversal of 10009107460 is 6470190001.

It is not an unprimeable number, because it can be changed into a prime (10009107467) 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, 925444 + ... + 936196.

It is an arithmetic number, because the mean of its divisors is an integer number (477864744).

Almost surely, 210009107460 is an apocalyptic number.

10009107460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009107460 is an abundant number, since it is smaller than the sum of its proper divisors (12928400252).

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

10009107460 is a wasteful number, since it uses less digits than its factorization.

10009107460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15004 (or 15002 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 10009107460 its reverse (6470190001), we get a palindrome (16479297461).

The spelling of 10009107460 in words is "ten billion, nine million, one hundred seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4231 8462 10753 16924 21155 21506 42310 43012 46541 53765 84620 93082 107530 118283 186164 215060 232705 236566 465410 473132 591415 930820 1182830 2365660 45495943 90991886 181983772 227479715 454959430 500455373 909918860 1000910746 2001821492 2502276865 5004553730 10009107460