Search a number
-
+
53715049952256 = 21033711194389347
BaseRepresentation
bin11000011011010100000100…
…11110001011010000000000
321001012002221012001201122000
430031222002132023100000
524020031410241433011
6310124204150544000
714212533004116450
oct1415520236132000
9231162835051560
1053715049952256
111612a474393330
126036405668000
1323c83cc6a85b4
14d39b7250dd60
156323b983b356
hex30da8278b400

53715049952256 has 2816 divisors, whose sum is σ = 216647405568000. Its totient is φ = 12728413716480.

The previous prime is 53715049952231. The next prime is 53715049952261. The reversal of 53715049952256 is 65225994051735.

53715049952256 is a `hidden beast` number, since 5 + 3 + 7 + 1 + 50 + 4 + 9 + 9 + 522 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a junction number, because it is equal to n+sod(n) for n = 53715049952193 and 53715049952202.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 154798414675 + ... + 154798415021.

It is an arithmetic number, because the mean of its divisors is an integer number (76934448000).

Almost surely, 253715049952256 is an apocalyptic number.

53715049952256 is a gapful number since it is divisible by the number (56) 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 53715049952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108323702784000).

53715049952256 is an abundant number, since it is smaller than the sum of its proper divisors (162932355615744).

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

53715049952256 is a wasteful number, since it uses less digits than its factorization.

53715049952256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 53715049952256 in words is "fifty-three trillion, seven hundred fifteen billion, forty-nine million, nine hundred fifty-two thousand, two hundred fifty-six".