Search a number
-
+
45972627954 = 2311263323179
BaseRepresentation
bin101010110100001011…
…101010000111110010
311101122220121110210020
4222310023222013302
51223122443043304
633041452544310
73215146614201
oct526413520762
9141586543706
1045972627954
1118551393900
128ab0182096
134448586546
1423218d3238
1512e10145d9
hexab42ea1f2

45972627954 has 24 divisors (see below), whose sum is σ = 101063795280. Its totient is φ = 13931099160.

The previous prime is 45972627949. The next prime is 45972627973.

It is a happy number.

45972627954 is nontrivially palindromic in base 10.

45972627954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459726279542 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31660864 + ... + 31662315.

It is an arithmetic number, because the mean of its divisors is an integer number (4210991470).

Almost surely, 245972627954 is an apocalyptic number.

45972627954 is an abundant number, since it is smaller than the sum of its proper divisors (55091167326).

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

45972627954 is a wasteful number, since it uses less digits than its factorization.

45972627954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63323206 (or 63323195 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 60.

The spelling of 45972627954 in words is "forty-five billion, nine hundred seventy-two million, six hundred twenty-seven thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 63323179 126646358 189969537 379939074 696554969 1393109938 2089664907 4179329814 7662104659 15324209318 22986313977 45972627954