Search a number
-
+
53295233472 = 26331319236189
BaseRepresentation
bin110001101000101001…
…001011100111000000
312002120020101101011000
4301220221023213000
51333122034432342
640252233452000
73564464003265
oct615051134700
9162506341130
1053295233472
11206698517a8
12a3b4571000
135044673610
14281822926c
1515bdd0544c
hexc68a4b9c0

53295233472 has 896 divisors, whose sum is σ = 190487808000. Its totient is φ = 14452162560.

The previous prime is 53295233471. The next prime is 53295233483. The reversal of 53295233472 is 27433259235.

53295233472 is a `hidden beast` number, since 5 + 3 + 29 + 523 + 34 + 72 = 666.

Its product of digits (1360800) is a multiple of the sum of its prime divisors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53295233471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 598822804 + ... + 598822892.

It is an arithmetic number, because the mean of its divisors is an integer number (212598000).

Almost surely, 253295233472 is an apocalyptic number.

53295233472 is a gapful number since it is divisible by the number (52) 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 53295233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904000).

53295233472 is an abundant number, since it is smaller than the sum of its proper divisors (137192574528).

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

53295233472 is a wasteful number, since it uses less digits than its factorization.

53295233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 53295233472 in words is "fifty-three billion, two hundred ninety-five million, two hundred thirty-three thousand, four hundred seventy-two".