Search a number
-
+
45045320766600 = 2335271137137192347
BaseRepresentation
bin10100011110111111011100…
…10101111101010010001000
312220111021211212001121211210
422033133232111331102020
521401010304104012400
6235445311254053120
712326263020004560
oct1217375625752210
9186437755047753
1045045320766600
1113397682275340
12507610294a1a0
131c199a8b5bc8b
14b1a2c2d4bda0
15531aeb0dd950
hex28f7ee57d488

45045320766600 has 768 divisors, whose sum is σ = 180108635166720. Its totient is φ = 9040569753600.

The previous prime is 45045320766571. The next prime is 45045320766619. The reversal of 45045320766600 is 666702354054.

It is a self number, because there is not a number n which added to its sum of digits gives 45045320766600.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 234091627 + ... + 234283973.

It is an arithmetic number, because the mean of its divisors is an integer number (234516452040).

Almost surely, 245045320766600 is an apocalyptic number.

45045320766600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45045320766600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90054317583360).

45045320766600 is an abundant number, since it is smaller than the sum of its proper divisors (135063314400120).

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

45045320766600 is a wasteful number, since it uses less digits than its factorization.

45045320766600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192558 (or 192549 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 45045320766600 in words is "forty-five trillion, forty-five billion, three hundred twenty million, seven hundred sixty-six thousand, six hundred".