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30163818720 = 2535729349887
BaseRepresentation
bin11100000101111001…
…110101100011100000
32212212011112202102010
4130011321311203200
5443233414144340
621505043152520
72115326141310
oct340571654340
985764482363
1030163818720
1111879764502
125a19975740
132ac92c1a59
1416620cd440
15bb81d7b80
hex705e758e0

30163818720 has 384 divisors, whose sum is σ = 112783104000. Its totient is φ = 6630285312.

The previous prime is 30163818701. The next prime is 30163818731. The reversal of 30163818720 is 2781836103.

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 63 ways as a sum of consecutive naturals, for example, 34006117 + ... + 34007003.

It is an arithmetic number, because the mean of its divisors is an integer number (293706000).

Almost surely, 230163818720 is an apocalyptic number.

30163818720 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 30163818720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56391552000).

30163818720 is an abundant number, since it is smaller than the sum of its proper divisors (82619285280).

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

30163818720 is a wasteful number, since it uses less digits than its factorization.

30163818720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 30163818720 in words is "thirty billion, one hundred sixty-three million, eight hundred eighteen thousand, seven hundred twenty".