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19322620416 = 293311314099
BaseRepresentation
bin10001111111101101…
…111100101000000000
31211212121220211011000
4101333231330220000
5304033042323131
612513210452000
71252555364211
oct217755745000
954777824130
1019322620416
11821612a790
1238b3134000
131a8c258608
14d14359408
15781565ce6
hex47fb7ca00

19322620416 has 320 divisors, whose sum is σ = 64424448000. Its totient is φ = 5665075200.

The previous prime is 19322620381. The next prime is 19322620441. The reversal of 19322620416 is 61402622391.

It is a happy number.

19322620416 is a `hidden beast` number, since 1 + 9 + 3 + 22 + 620 + 4 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4711935 + ... + 4716033.

It is an arithmetic number, because the mean of its divisors is an integer number (201326400).

Almost surely, 219322620416 is an apocalyptic number.

19322620416 is a gapful number since it is divisible by the number (16) 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 19322620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32212224000).

19322620416 is an abundant number, since it is smaller than the sum of its proper divisors (45101827584).

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

19322620416 is a wasteful number, since it uses less digits than its factorization.

19322620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 19322620416 in words is "nineteen billion, three hundred twenty-two million, six hundred twenty thousand, four hundred sixteen".