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3930516452025 = 3252116331501673
BaseRepresentation
bin111001001100100101000…
…010010111001010111001
3111220202100110010202001100
4321030211002113022321
51003344144202431100
612205353200242013
7553653601411362
oct71144502271271
914822313122040
103930516452025
111285a17083659
12535916010309
132268526766c7
14d8349162b69
156c395db2400
hex393250972b9

3930516452025 has 36 divisors (see below), whose sum is σ = 7040601552348. Its totient is φ = 2096093844480.

The previous prime is 3930516451997. The next prime is 3930516452039. The reversal of 3930516452025 is 5202546150393.

3930516452025 is a `hidden beast` number, since 3 + 93 + 0 + 5 + 16 + 4 + 520 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 210042556416 + 3720473895609 = 458304^2 + 1928853^2 .

It is not a de Polignac number, because 3930516452025 - 215 = 3930516419257 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1866589 + ... + 3368261.

It is an arithmetic number, because the mean of its divisors is an integer number (195572265343).

Almost surely, 23930516452025 is an apocalyptic number.

It is an amenable number.

3930516452025 is a deficient number, since it is larger than the sum of its proper divisors (3110085100323).

3930516452025 is a wasteful number, since it uses less digits than its factorization.

3930516452025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513322 (or 1513314 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 3930516452025 in words is "three trillion, nine hundred thirty billion, five hundred sixteen million, four hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 11633 34899 58165 104697 174495 290825 523485 872475 1501673 2617425 4505019 7508365 13515057 22525095 37541825 67575285 112625475 337876425 17468962009 52406886027 87344810045 157220658081 262034430135 436724050225 786103290405 1310172150675 3930516452025