Search a number
-
+
53265314256 = 243711372631481
BaseRepresentation
bin110001100110110111…
…000011000111010000
312002111011002022200220
4301212313003013100
51333041410024011
640245244313040
73563651462250
oct614667030720
9162434068626
1053265314256
1120653976a80
12a3a6542780
13503b3c933b
14281427b960
1515bb395506
hexc66dc31d0

53265314256 has 320 divisors, whose sum is σ = 176981815296. Its totient is φ = 13400985600.

The previous prime is 53265314239. The next prime is 53265314257. The reversal of 53265314256 is 65241356235.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53265314257) 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 63 ways as a sum of consecutive naturals, for example, 35965036 + ... + 35966516.

Almost surely, 253265314256 is an apocalyptic number.

53265314256 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 53265314256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88490907648).

53265314256 is an abundant number, since it is smaller than the sum of its proper divisors (123716501040).

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

53265314256 is a wasteful number, since it uses less digits than its factorization.

53265314256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 53265314256 in words is "fifty-three billion, two hundred sixty-five million, three hundred fourteen thousand, two hundred fifty-six".