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19914888000 = 2635371719367
BaseRepresentation
bin10010100011000001…
…010001001101000000
31220101220101010112110
4102203001101031000
5311241202404000
613052045055320
71303336516650
oct224301211500
956356333473
1019914888000
11849a487127
123a39557540
131b54b777c7
14d6cc8c360
157b8557850
hex4a3051340

19914888000 has 896 divisors, whose sum is σ = 83990200320. Its totient is φ = 4047667200.

The previous prime is 19914887989. The next prime is 19914888041. The reversal of 19914888000 is 88841991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54263817 + ... + 54264183.

Almost surely, 219914888000 is an apocalyptic number.

19914888000 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 19914888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995100160).

19914888000 is an abundant number, since it is smaller than the sum of its proper divisors (64075312320).

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

19914888000 is a wasteful number, since it uses less digits than its factorization.

19914888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The spelling of 19914888000 in words is "nineteen billion, nine hundred fourteen million, eight hundred eighty-eight thousand".