Search a number
-
+
203160977414928 = 2432134110728518677
BaseRepresentation
bin101110001100011000011001…
…111001000001101100010000
3222122022222222211022022020100
4232030120121321001230100
5203112042140204234203
62000030510425412400
760535616261112201
oct5614303171015420
9878288884268210
10203160977414928
11598080a539a515
121a951b6033a100
138948cc86b8910
14382508817d5a8
151874a3ae8eea3
hexb8c619e41b10

203160977414928 has 480 divisors, whose sum is σ = 633395968313472. Its totient is φ = 60388291584000.

The previous prime is 203160977414911. The next prime is 203160977414939. The reversal of 203160977414928 is 829414779061302.

203160977414928 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 60 + 9 + 77 + 414 + 92 + 8 = 666.

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, 23413730526 + ... + 23413739202.

Almost surely, 2203160977414928 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 203160977414928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316697984156736).

203160977414928 is an abundant number, since it is smaller than the sum of its proper divisors (430234990898544).

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

203160977414928 is a wasteful number, since it uses less digits than its factorization.

203160977414928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 203160977414928 in words is "two hundred three trillion, one hundred sixty billion, nine hundred seventy-seven million, four hundred fourteen thousand, nine hundred twenty-eight".