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10232663625 = 325353171617
BaseRepresentation
bin10011000011110101…
…00000111001001001
3222102010120011121200
421201322200321021
5131424030214000
64411213254413
7511401130362
oct114172407111
928363504550
1010232663625
1143810876a8
121b96a94409
13c70c6cc62
146d1008b69
153ed51a500
hex261ea0e49

10232663625 has 48 divisors (see below), whose sum is σ = 18794230416. Its totient is φ = 5354419200.

The previous prime is 10232663599. The next prime is 10232663629. The reversal of 10232663625 is 52636623201.

10232663625 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 26 + 6 + 3 + 625 = 666.

10232663625 is digitally balanced in base 3, 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 8 ways, for example, as 1217730816 + 9014932809 = 34896^2 + 94947^2 .

It is not a de Polignac number, because 10232663625 - 26 = 10232663561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10232663625.

It is not an unprimeable number, because it can be changed into a prime (10232663629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26184 + ... + 145433.

It is an arithmetic number, because the mean of its divisors is an integer number (391546467).

Almost surely, 210232663625 is an apocalyptic number.

10232663625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10232663625 is a deficient number, since it is larger than the sum of its proper divisors (8561566791).

10232663625 is a wasteful number, since it uses less digits than its factorization.

10232663625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171691 (or 171678 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10232663625 in words is "ten billion, two hundred thirty-two million, six hundred sixty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 125 159 225 265 375 477 795 1125 1325 2385 3975 6625 11925 19875 59625 171617 514851 858085 1544553 2574255 4290425 7722765 9095701 12871275 21452125 27287103 38613825 45478505 64356375 81861309 136435515 193069125 227392525 409306545 682177575 1136962625 2046532725 3410887875 10232663625