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19874227968 = 2832731127313
BaseRepresentation
bin10010100000100110…
…001010011100000000
31220022001212101110100
4102200212022130000
5311200300243333
613044033402400
71302334102410
oct224046123400
956261771410
1019874227968
1184795356a1
123a27a09400
131b4960c70a
14d67706640
157b4bc5213
hex4a098a700

19874227968 has 432 divisors, whose sum is σ = 68350836736. Its totient is φ = 5434490880.

The previous prime is 19874227897. The next prime is 19874227969. The reversal of 19874227968 is 86972247891.

19874227968 is a `hidden beast` number, since 1 + 9 + 87 + 422 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19874227969) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 63495780 + ... + 63496092.

Almost surely, 219874227968 is an apocalyptic number.

19874227968 is a gapful number since it is divisible by the number (18) 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 19874227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34175418368).

19874227968 is an abundant number, since it is smaller than the sum of its proper divisors (48476608768).

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

19874227968 is a wasteful number, since it uses less digits than its factorization.

19874227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 19874227968 in words is "nineteen billion, eight hundred seventy-four million, two hundred twenty-seven thousand, nine hundred sixty-eight".