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30825844290 = 2325342509381
BaseRepresentation
bin11100101101010111…
…010000111001000010
32221120022021010202200
4130231113100321002
51001112404004130
622054452454030
72140615232103
oct345527207102
987508233680
1030825844290
111208942707a
125b8361a316
132ba34c6567
1416c5dc03aa
15c063a8760
hex72d5d0e42

30825844290 has 24 divisors (see below), whose sum is σ = 80147195388. Its totient is φ = 8220225120.

The previous prime is 30825844271. The next prime is 30825844307. The reversal of 30825844290 is 9244852803.

30825844290 is a `hidden beast` number, since 308 + 2 + 58 + 4 + 4 + 290 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30675070449 + 150773841 = 175143^2 + 12279^2 .

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171254601 + ... + 171254780.

Almost surely, 230825844290 is an apocalyptic number.

30825844290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30825844290 is an abundant number, since it is smaller than the sum of its proper divisors (49321351098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30825844290 is a wasteful number, since it uses less digits than its factorization.

30825844290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342509394 (or 342509391 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 30825844290 in words is "thirty billion, eight hundred twenty-five million, eight hundred forty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 342509381 685018762 1027528143 1712546905 2055056286 3082584429 3425093810 5137640715 6165168858 10275281430 15412922145 30825844290