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19914407280 = 2434510329837
BaseRepresentation
bin10010100010111111…
…011011110101110000
31220101212110201010000
4102202333123311300
5311241042013110
613052030510000
71303332445305
oct224277336560
956355421100
1019914407280
11849a188a39
123a39365300
131b54a39a61
14d6cba50ac
157b84b01c0
hex4a2fdbd70

19914407280 has 200 divisors, whose sum is σ = 69839538912. Its totient is φ = 5258774016.

The previous prime is 19914407267. The next prime is 19914407321. The reversal of 19914407280 is 8270441991.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 652522 + ... + 682358.

Almost surely, 219914407280 is an apocalyptic number.

19914407280 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 19914407280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34919769456).

19914407280 is an abundant number, since it is smaller than the sum of its proper divisors (49925131632).

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

19914407280 is a wasteful number, since it uses less digits than its factorization.

19914407280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29965 (or 29950 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 19914407280 in words is "nineteen billion, nine hundred fourteen million, four hundred seven thousand, two hundred eighty".