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19330680600 = 233252711211661
BaseRepresentation
bin10010000000001100…
…101100011100011000
31211220012002022122100
4102000030230130120
5304042123234400
612514055323400
71253014034250
oct220014543430
954805068570
1019330680600
11821a7354a0
1238b5980560
131a90b1b25a
14d15456960
15782109100
hex48032c718

19330680600 has 576 divisors, whose sum is σ = 81444430080. Its totient is φ = 3991680000.

The previous prime is 19330680493. The next prime is 19330680601. The reversal of 19330680600 is 608603391.

It is a happy number.

19330680600 is a `hidden beast` number, since 19 + 3 + 30 + 6 + 8 + 0 + 600 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19330680601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29244270 + ... + 29244930.

It is an arithmetic number, because the mean of its divisors is an integer number (141396580).

Almost surely, 219330680600 is an apocalyptic number.

19330680600 is a gapful number since it is divisible by the number (10) 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 19330680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40722215040).

19330680600 is an abundant number, since it is smaller than the sum of its proper divisors (62113749480).

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

19330680600 is a wasteful number, since it uses less digits than its factorization.

19330680600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

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

The spelling of 19330680600 in words is "nineteen billion, three hundred thirty million, six hundred eighty thousand, six hundred".