Search a number
-
+
53756098080 = 253519311071777
BaseRepresentation
bin110010000100000111…
…001111011000100000
312010202100120201112120
4302010013033120200
51340043030114310
640410055424240
73612061203006
oct620407173040
9163670521476
1053756098080
1120885a09143
12a502985080
1350b8ca5579
14285d514a76
1515e94dcb70
hexc841cf620

53756098080 has 384 divisors, whose sum is σ = 185817784320. Its totient is φ = 13012254720.

The previous prime is 53756098079. The next prime is 53756098091. The reversal of 53756098080 is 8089065735.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30250152 + ... + 30251928.

It is an arithmetic number, because the mean of its divisors is an integer number (483900480).

Almost surely, 253756098080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53756098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92908892160).

53756098080 is an abundant number, since it is smaller than the sum of its proper divisors (132061686240).

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

53756098080 is a wasteful number, since it uses less digits than its factorization.

53756098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 53756098080 in words is "fifty-three billion, seven hundred fifty-six million, ninety-eight thousand, eighty".