Search a number
-
+
409972232268 = 223211388117563
BaseRepresentation
bin1011111011101000011…
…11111101000001001100
31110012012200002020221200
411331310033331001030
523204110342413033
6512201051425500
741422331322324
oct5756417750114
91405180066850
10409972232268
11148960701075
1267556a55290
132c8776558b1
1415bb2778284
15a9e711e013
hex5f743fd04c

409972232268 has 18 divisors (see below), whose sum is σ = 1036318698324. Its totient is φ = 136657410744.

The previous prime is 409972232207. The next prime is 409972232281. The reversal of 409972232268 is 862232279904.

409972232268 is a `hidden beast` number, since 409 + 9 + 7 + 2 + 2 + 3 + 226 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5694058746 + ... + 5694058817.

It is an arithmetic number, because the mean of its divisors is an integer number (57573261018).

Almost surely, 2409972232268 is an apocalyptic number.

It is an amenable number.

409972232268 is an abundant number, since it is smaller than the sum of its proper divisors (626346466056).

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

409972232268 is a wasteful number, since it uses less digits than its factorization.

409972232268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11388117573 (or 11388117568 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 409972232268 in words is "four hundred nine billion, nine hundred seventy-two million, two hundred thirty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 11388117563 22776235126 34164352689 45552470252 68328705378 102493058067 136657410756 204986116134 409972232268