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30325465800 = 23335275315137
BaseRepresentation
bin11100001111100010…
…011110001011001000
32220021102201021112000
4130033202132023020
5444101304401200
621533055551000
72122331130510
oct341742361310
986242637460
1030325465800
1111951a31333
125a63b2b460
132b2393b106
14167976a840
15bc74b8300
hex70f89e2c8

30325465800 has 384 divisors, whose sum is σ = 121636857600. Its totient is φ = 6800302080.

The previous prime is 30325465783. The next prime is 30325465801. The reversal of 30325465800 is 856452303.

It is a happy number.

30325465800 is a `hidden beast` number, since 3 + 0 + 32 + 5 + 46 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30325465801) 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 95 ways as a sum of consecutive naturals, for example, 1995832 + ... + 2010968.

It is an arithmetic number, because the mean of its divisors is an integer number (316762650).

Almost surely, 230325465800 is an apocalyptic number.

30325465800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30325465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60818428800).

30325465800 is an abundant number, since it is smaller than the sum of its proper divisors (91311391800).

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

30325465800 is a wasteful number, since it uses less digits than its factorization.

30325465800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 30325465800 in words is "thirty billion, three hundred twenty-five million, four hundred sixty-five thousand, eight hundred".