Search a number
-
+
50360647680 = 215325721741
BaseRepresentation
bin101110111001101110…
…101000000000000000
311210222201102222020100
4232321232220000000
51311114311211210
635045123242400
73431661304500
oct567156500000
9153881388210
1050360647680
111a3a32aaa92
129915819400
1349976b3515
14261a5ada00
15149b3835c0
hexbb9ba8000

50360647680 has 1152 divisors, whose sum is σ = 220274669160. Its totient is φ = 10569646080.

The previous prime is 50360647643. The next prime is 50360647703. The reversal of 50360647680 is 8674606305.

50360647680 is a `hidden beast` number, since 503 + 6 + 0 + 64 + 7 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34399862784 + 15960784896 = 185472^2 + 126336^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1228308460 + ... + 1228308500.

Almost surely, 250360647680 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 50360647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110137334580).

50360647680 is an abundant number, since it is smaller than the sum of its proper divisors (169914021480).

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

50360647680 is a wasteful number, since it uses less digits than its factorization.

50360647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 50360647680 in words is "fifty billion, three hundred sixty million, six hundred forty-seven thousand, six hundred eighty".