Search a number
-
+
18905793984 = 263471147363
BaseRepresentation
bin10001100110110111…
…111000010111000000
31210210120120211210000
4101212313320113000
5302204340401414
612404000440000
71236334411620
oct214667702700
953716524700
1018905793984
118021911930
1237b7619000
131a23aa525c
14cb4c54880
15759b7bb09
hex466df85c0

18905793984 has 280 divisors, whose sum is σ = 69872888448. Its totient is φ = 4910492160.

The previous prime is 18905793983. The next prime is 18905794003. The reversal of 18905793984 is 48939750981.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18905793983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375487 + ... + 422849.

Almost surely, 218905793984 is an apocalyptic number.

18905793984 is a gapful number since it is divisible by the number (14) 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 18905793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34936444224).

18905793984 is an abundant number, since it is smaller than the sum of its proper divisors (50967094464).

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

18905793984 is a wasteful number, since it uses less digits than its factorization.

18905793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47405 (or 47386 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 18905793984 in words is "eighteen billion, nine hundred five million, seven hundred ninety-three thousand, nine hundred eighty-four".