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19357994304 = 2639112127
BaseRepresentation
bin10010000001110100…
…111000110101000000
31211222002111000000000
4102001310320311000
5304121121304204
612520513000000
71253465144115
oct220164706500
954862430000
1019357994304
1182340a0700
123902b53000
131a966925cc
14d18d2690c
15784702039
hex481d38d40

19357994304 has 420 divisors, whose sum is σ = 63832305152. Its totient is φ = 5819869440.

The previous prime is 19357994303. The next prime is 19357994317. The reversal of 19357994304 is 40349975391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19357994303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 152425089 + ... + 152425215.

Almost surely, 219357994304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19357994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31916152576).

19357994304 is an abundant number, since it is smaller than the sum of its proper divisors (44474310848).

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

19357994304 is an frugal number, since it uses more digits than its factorization.

19357994304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 19357994304 in words is "nineteen billion, three hundred fifty-seven million, nine hundred ninety-four thousand, three hundred four".