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18944293368 = 233741131319
BaseRepresentation
bin10001101001001010…
…101111100111111000
31210220021000211000010
4101221022233213320
5302244214341433
612411453541520
71240312560000
oct215112574770
953807024003
1018944293368
118041618000
1238084a48a0
131a2ba64a60
14cb9dd7000
1575d233e63
hex4692af9f8

18944293368 has 640 divisors, whose sum is σ = 68891155200. Its totient is φ = 4303031040.

The previous prime is 18944293351. The next prime is 18944293369. The reversal of 18944293368 is 86339244981.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18944293369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 997068063 + ... + 997068081.

It is an arithmetic number, because the mean of its divisors is an integer number (107642430).

Almost surely, 218944293368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18944293368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34445577600).

18944293368 is an abundant number, since it is smaller than the sum of its proper divisors (49946861832).

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

18944293368 is a wasteful number, since it uses less digits than its factorization.

18944293368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 55 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 18944293368 in words is "eighteen billion, nine hundred forty-four million, two hundred ninety-three thousand, three hundred sixty-eight".