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30321552096 = 25331123237163
BaseRepresentation
bin11100001111010011…
…100010101011100000
32220021011100102221000
4130033103202223200
5444044304131341
621532440032000
72122252640343
oct341723425340
986234312830
1030321552096
111194a7a8970
125a62762600
132b22b9a904
14167902c45a
15bc6e938b6
hex70f4e2ae0

30321552096 has 576 divisors, whose sum is σ = 104215991040. Its totient is φ = 8498856960.

The previous prime is 30321552089. The next prime is 30321552109. The reversal of 30321552096 is 69025512303.

30321552096 is a `hidden beast` number, since 3 + 0 + 32 + 15 + 520 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30321552096.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 186021711 + ... + 186021873.

It is an arithmetic number, because the mean of its divisors is an integer number (180930540).

Almost surely, 230321552096 is an apocalyptic number.

30321552096 is a gapful number since it is divisible by the number (36) 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 30321552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52107995520).

30321552096 is an abundant number, since it is smaller than the sum of its proper divisors (73894438944).

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

30321552096 is a wasteful number, since it uses less digits than its factorization.

30321552096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 30321552096 in words is "thirty billion, three hundred twenty-one million, five hundred fifty-two thousand, ninety-six".