Search a number
-
+
45214836300 = 223252792292777
BaseRepresentation
bin101010000111000000…
…111010011001001100
311022201002200200001200
4222013000322121030
51220044444230200
632434342505500
73160315524114
oct520700723114
9138632620050
1045214836300
11181a2661807
12891a435290
13435759140a
14228cdd4044
151299728800
hexa8703a64c

45214836300 has 216 divisors, whose sum is σ = 144195979200. Its totient is φ = 11848412160.

The previous prime is 45214836257. The next prime is 45214836319. The reversal of 45214836300 is 363841254.

45214836300 is a `hidden beast` number, since 4 + 5 + 2 + 14 + 8 + 3 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16280512 + ... + 16283288.

Almost surely, 245214836300 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 45214836300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72097989600).

45214836300 is an abundant number, since it is smaller than the sum of its proper divisors (98981142900).

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

45214836300 is a wasteful number, since it uses less digits than its factorization.

45214836300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45214836300 in words is "forty-five billion, two hundred fourteen million, eight hundred thirty-six thousand, three hundred".