Search a number
-
+
53855159904 = 253374131997
BaseRepresentation
bin110010001010000001…
…001000011001100000
312011000020222120211000
4302022001020121200
51340243410104104
640423554552000
73614403210000
oct621201103140
9164006876730
1053855159904
1120926919817
12a52bb98600
13510367b030
14286c740000
151603059639
hexc8a048660

53855159904 has 480 divisors, whose sum is σ = 197440921440. Its totient is φ = 14196446208.

The previous prime is 53855159887. The next prime is 53855159947. The reversal of 53855159904 is 40995155835.

53855159904 is a `hidden beast` number, since 5 + 38 + 5 + 515 + 9 + 90 + 4 = 666.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26967034 + ... + 26969030.

It is an arithmetic number, because the mean of its divisors is an integer number (411335253).

Almost surely, 253855159904 is an apocalyptic number.

53855159904 is a gapful number since it is divisible by the number (54) 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 53855159904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98720460720).

53855159904 is an abundant number, since it is smaller than the sum of its proper divisors (143585761536).

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

53855159904 is a wasteful number, since it uses less digits than its factorization.

53855159904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 53855159904 in words is "fifty-three billion, eight hundred fifty-five million, one hundred fifty-nine thousand, nine hundred four".