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10345717425 = 352614794721
BaseRepresentation
bin10011010001010011…
…10001111010110001
3222201000021220021110
421220221301322301
5132142000424200
64430332343533
7514243101321
oct115051617261
928630256243
1010345717425
11442998469a
122008914ba9
13c8b5042b4
14702037281
154083ecb50
hex268a71eb1

10345717425 has 48 divisors (see below), whose sum is σ = 17425313280. Its totient is φ = 5414784000.

The previous prime is 10345717391. The next prime is 10345717427. The reversal of 10345717425 is 52471754301.

10345717425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10345717425 - 216 = 10345651889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10345717427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189065 + ... + 2193785.

It is an arithmetic number, because the mean of its divisors is an integer number (363027360).

Almost surely, 210345717425 is an apocalyptic number.

10345717425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10345717425 is a deficient number, since it is larger than the sum of its proper divisors (7079595855).

10345717425 is a wasteful number, since it uses less digits than its factorization.

10345717425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 10345717425 in words is "ten billion, three hundred forty-five million, seven hundred seventeen thousand, four hundred twenty-five".

Divisors: 1 3 5 15 25 61 75 183 305 479 915 1437 1525 2395 4575 4721 7185 11975 14163 23605 29219 35925 70815 87657 118025 146095 287981 354075 438285 730475 863943 1439905 2191425 2261359 4319715 6784077 7199525 11306795 21598575 33920385 56533975 137942899 169601925 413828697 689714495 2069143485 3448572475 10345717425