Search a number
-
+
51329064960 = 213385191
BaseRepresentation
bin101111110011011100…
…110110000000000000
311220111012200200000000
4233303130312000000
51320110220034320
635325200000000
73464660565465
oct576334660000
9156435620000
1051329064960
111a84aa12248
129b46000000
134ac02131b4
1426ad05966c
1515063c6c90
hexbf3736000

51329064960 has 504 divisors, whose sum is σ = 185731318656. Its totient is φ = 13616087040.

The previous prime is 51329064947. The next prime is 51329064989. The reversal of 51329064960 is 6946092315.

51329064960 is a `hidden beast` number, since 513 + 2 + 90 + 6 + 49 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268738465 + ... + 268738655.

Almost surely, 251329064960 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 51329064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92865659328).

51329064960 is an abundant number, since it is smaller than the sum of its proper divisors (134402253696).

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

51329064960 is an frugal number, since it uses more digits than its factorization.

51329064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 51329064960 in words is "fifty-one billion, three hundred twenty-nine million, sixty-four thousand, nine hundred sixty".