Search a number
-
+
18848563920 = 2434519295279
BaseRepresentation
bin10001100011011101…
…100100001011010000
31210122120220020220000
4101203131210023100
5302100213021140
612354154050000
71235041102254
oct214335441320
953576806800
1018848563920
117aa258305a
1237a0419900
131a14c88004
14cab3d8264
15754b24a30
hex4637642d0

18848563920 has 400 divisors, whose sum is σ = 71299008000. Its totient is φ = 4596673536.

The previous prime is 18848563919. The next prime is 18848563931. The reversal of 18848563920 is 2936584881.

18848563920 is a `hidden beast` number, since 1 + 88 + 485 + 63 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3567841 + ... + 3573119.

It is an arithmetic number, because the mean of its divisors is an integer number (178247520).

Almost surely, 218848563920 is an apocalyptic number.

18848563920 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 18848563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35649504000).

18848563920 is an abundant number, since it is smaller than the sum of its proper divisors (52450444080).

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

18848563920 is a wasteful number, since it uses less digits than its factorization.

18848563920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

It can be divided in two parts, 188485 and 63920, that added together give a triangular number (252405 = T710).

The spelling of 18848563920 in words is "eighteen billion, eight hundred forty-eight million, five hundred sixty-three thousand, nine hundred twenty".