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10115296425 = 3252132299173
BaseRepresentation
bin10010110101110101…
…10010110010101001
3222002221201022002100
421122322302302221
5131204003441200
64351421524013
7505444413063
oct113272626251
928087638070
1010115296425
114320903a13
121b63713609
13c52858500
146bd5b6733
153e3084d00
hex25aeb2ca9

10115296425 has 108 divisors (see below), whose sum is σ = 20297199780. Its totient is φ = 4807595520.

The previous prime is 10115296423. The next prime is 10115296447. The reversal of 10115296425 is 52469251101.

10115296425 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 2 + 9 + 642 + 5 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 10093618089 + 21678336 = 100467^2 + 4656^2 .

It is not a de Polignac number, because 10115296425 - 21 = 10115296423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10115296425.

It is not an unprimeable number, because it can be changed into a prime (10115296421) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1098139 + ... + 1107311.

It is an arithmetic number, because the mean of its divisors is an integer number (187937035).

Almost surely, 210115296425 is an apocalyptic number.

10115296425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10115296425 is an abundant number, since it is smaller than the sum of its proper divisors (10181903355).

10115296425 is a wasteful number, since it uses less digits than its factorization.

10115296425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10115296425 in words is "ten billion, one hundred fifteen million, two hundred ninety-six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 145 169 195 225 261 325 377 435 507 585 725 845 975 1131 1305 1521 1885 2175 2535 2925 3393 4225 4901 5655 6525 7605 9173 9425 12675 14703 16965 24505 27519 28275 38025 44109 45865 73515 82557 84825 119249 122525 137595 220545 229325 266017 357747 367575 412785 596245 687975 798051 1073241 1102725 1330085 1550237 1788735 2063925 2394153 2981225 3458221 3990255 4650711 5366205 6650425 7751185 8943675 10374663 11970765 13952133 17291105 19951275 23253555 26831025 31123989 38755925 44956873 51873315 59853825 69760665 86455525 116267775 134870619 155619945 224784365 259366575 348803325 404611857 674353095 778099725 1123921825 2023059285 3371765475 10115296425