Search a number
-
+
53401990824 = 233371319236217
BaseRepresentation
bin110001101111000000…
…011011011010101000
312002211200021012201000
4301233000123122220
51333331402201244
640311005555000
73600231301230
oct615700333250
9162750235630
1053401990824
1120714039116
12a424275a60
135060811a50
142828498cc0
1515c8392169
hexc6f01b6a8

53401990824 has 512 divisors, whose sum is σ = 200567808000. Its totient is φ = 12760602624.

The previous prime is 53401990819. The next prime is 53401990867. The reversal of 53401990824 is 42809910435.

53401990824 is a `hidden beast` number, since 534 + 0 + 1 + 9 + 90 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53401990824.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8586564 + ... + 8592780.

It is an arithmetic number, because the mean of its divisors is an integer number (391734000).

Almost surely, 253401990824 is an apocalyptic number.

53401990824 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 53401990824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100283904000).

53401990824 is an abundant number, since it is smaller than the sum of its proper divisors (147165817176).

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

53401990824 is a wasteful number, since it uses less digits than its factorization.

53401990824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 53401990824 in words is "fifty-three billion, four hundred one million, nine hundred ninety thousand, eight hundred twenty-four".