Search a number
-
+
45412066656 = 253211231127331
BaseRepresentation
bin101010010010110001…
…010010010101100000
311100012211211000020200
4222102301102111200
51221000442113111
632510110105200
73165232124535
oct522261222540
9140184730220
1045412066656
1118293a22900
1289744ab200
1343893b8b78
1422ab294d8c
1512abbd7256
hexa92c52560

45412066656 has 432 divisors, whose sum is σ = 148126777344. Its totient is φ = 13172544000.

The previous prime is 45412066619. The next prime is 45412066669. The reversal of 45412066656 is 65666021454.

It is a congruent number.

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, 137196411 + ... + 137196741.

Almost surely, 245412066656 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 45412066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74063388672).

45412066656 is an abundant number, since it is smaller than the sum of its proper divisors (102714710688).

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

45412066656 is a wasteful number, since it uses less digits than its factorization.

45412066656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 45412066656 in words is "forty-five billion, four hundred twelve million, sixty-six thousand, six hundred fifty-six".