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19414396800 = 2732524361257
BaseRepresentation
bin10010000101001100…
…000010111110000000
31212010000121112200100
4102011030002332000
5304230041144200
612530245522400
71255051435641
oct220514027600
955100545610
1019414396800
118262a14737
123919a13400
131aa527cc76
14d226096c8
15789643d00
hex485302f80

19414396800 has 576 divisors, whose sum is σ = 72328473360. Its totient is φ = 4954521600.

The previous prime is 19414396787. The next prime is 19414396823. The reversal of 19414396800 is 869341491.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 75542272 + ... + 75542528.

Almost surely, 219414396800 is an apocalyptic number.

19414396800 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 19414396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36164236680).

19414396800 is an abundant number, since it is smaller than the sum of its proper divisors (52914076560).

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

19414396800 is a wasteful number, since it uses less digits than its factorization.

19414396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19414396800 in words is "nineteen billion, four hundred fourteen million, three hundred ninety-six thousand, eight hundred".