Search a number
-
+
52134059520 = 2932523131751
BaseRepresentation
bin110000100011011011…
…101001111000000000
311222120022102121221100
4300203123221320000
51323232304401040
635541113454400
73523634123424
oct604333517000
9158508377840
1052134059520
1120123354604
12a12b711400
134bbac2453a
142747d24b84
151551dd8b30
hexc236e9e00

52134059520 has 480 divisors, whose sum is σ = 190096118784. Its totient is φ = 13178880000.

The previous prime is 52134059449. The next prime is 52134059521. The reversal of 52134059520 is 2595043125.

It is a happy number.

52134059520 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 40 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52134059521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69419145 + ... + 69419895.

Almost surely, 252134059520 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 52134059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95048059392).

52134059520 is an abundant number, since it is smaller than the sum of its proper divisors (137962059264).

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

52134059520 is a wasteful number, since it uses less digits than its factorization.

52134059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 52134059520 in words is "fifty-two billion, one hundred thirty-four million, fifty-nine thousand, five hundred twenty".