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30318361920 = 26325721119531
BaseRepresentation
bin11100001111000111…
…010111110101000000
32220020221100100211100
4130033013113311000
5444043000040140
621532243414400
72122213552500
oct341707276500
986227310740
1030318361920
1111948a1a060
125a61684400
132b22321832
14167883ba00
15bc6a63530
hex70f1d7d40

30318361920 has 504 divisors, whose sum is σ = 132343050528. Its totient is φ = 6299596800.

The previous prime is 30318361897. The next prime is 30318361933. The reversal of 30318361920 is 2916381303.

30318361920 is a `hidden beast` number, since 3 + 0 + 3 + 18 + 3 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1542555 + ... + 1562085.

Almost surely, 230318361920 is an apocalyptic number.

30318361920 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 30318361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66171525264).

30318361920 is an abundant number, since it is smaller than the sum of its proper divisors (102024688608).

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

30318361920 is a wasteful number, since it uses less digits than its factorization.

30318361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19579 (or 19559 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 30318361920 in words is "thirty billion, three hundred eighteen million, three hundred sixty-one thousand, nine hundred twenty".