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10379066625 = 34531025093
BaseRepresentation
bin10011010101010001…
…11111110100000001
3222210100001012210000
421222220333310001
5132224020113000
64433523230213
7515126416314
oct115250776401
928710035700
1010379066625
114446792414
122017b18369
13c953ac855
1470663897b
1540b2d9000
hex26aa3fd01

10379066625 has 40 divisors (see below), whose sum is σ = 19349674344. Its totient is φ = 5535496800.

The previous prime is 10379066609. The next prime is 10379066629. The reversal of 10379066625 is 52666097301.

10379066625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1979894016 + 8399172609 = 44496^2 + 91647^2 .

It is not a de Polignac number, because 10379066625 - 24 = 10379066609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10379066629) 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 39 ways as a sum of consecutive naturals, for example, 502422 + ... + 522671.

Almost surely, 210379066625 is an apocalyptic number.

10379066625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10379066625 is a deficient number, since it is larger than the sum of its proper divisors (8970607719).

10379066625 is an equidigital number, since it uses as much as digits as its factorization.

10379066625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025120 (or 1025101 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 10379066625 in words is "ten billion, three hundred seventy-nine million, sixty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 10125 1025093 3075279 5125465 9225837 15376395 25627325 27677511 46129185 76881975 83032533 128136625 138387555 230645925 384409875 415162665 691937775 1153229625 2075813325 3459688875 10379066625