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10464314120 = 2351331649151
BaseRepresentation
bin10011011111011100…
…01100001100001000
31000000021110020100122
421233232030030020
5132412331022440
64450210322412
7520213126301
oct115756141410
930007406318
1010464314120
11448a918097
122040589408
13ca9c59560
14713aa97a8
15413a277b5
hex26fb8c308

10464314120 has 64 divisors (see below), whose sum is σ = 26173808640. Its totient is φ = 3739104000.

The previous prime is 10464314101. The next prime is 10464314123. The reversal of 10464314120 is 2141346401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10464314120.

It is not an unprimeable number, because it can be changed into a prime (10464314123) 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, 308456 + ... + 340695.

It is an arithmetic number, because the mean of its divisors is an integer number (408965760).

Almost surely, 210464314120 is an apocalyptic number.

10464314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10464314120 is an abundant number, since it is smaller than the sum of its proper divisors (15709494520).

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

10464314120 is a wasteful number, since it uses less digits than its factorization.

10464314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649206 (or 649202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 10464314120 in words is "ten billion, four hundred sixty-four million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 16120 649151 1298302 2596604 3245755 5193208 6491510 8438963 12983020 16877926 20123681 25966040 33755852 40247362 42194815 67511704 80494724 84389630 100618405 160989448 168779260 201236810 261607853 337558520 402473620 523215706 804947240 1046431412 1308039265 2092862824 2616078530 5232157060 10464314120