Search a number
-
+
5077163520 = 2932511132367
BaseRepresentation
bin1001011101001111…
…10101111000000000
3111002211120122000100
410232213311320000
540344223213040
62155445122400
7236550115002
oct45647657000
914084518010
105077163520
112175a21110
12b983b9400
1362bb37b90
1436242a372
151eaae9b30
hex12e9f5e00

5077163520 has 960 divisors, whose sum is σ = 21877599744. Its totient is φ = 1070530560.

The previous prime is 5077163473. The next prime is 5077163549. The reversal of 5077163520 is 253617705.

5077163520 is a `hidden beast` number, since 5 + 0 + 7 + 71 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75778527 + ... + 75778593.

Almost surely, 25077163520 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 5077163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938799872).

5077163520 is an abundant number, since it is smaller than the sum of its proper divisors (16800436224).

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

5077163520 is a wasteful number, since it uses less digits than its factorization.

5077163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5077163520 is about 71254.2175593838. The cubic root of 5077163520 is about 1718.7275968959.

The spelling of 5077163520 in words is "five billion, seventy-seven million, one hundred sixty-three thousand, five hundred twenty".