Search a number
-
+
45373532160 = 21135111937191
BaseRepresentation
bin101010010000011110…
…010010100000000000
311100010011022020212010
4222100132102200000
51220411111012120
632502212132520
73164253442215
oct522036224000
9140104266763
1045373532160
11182741a3310
128963607140
1343814163a8
1422a6103b0c
1512a86247e0
hexa90792800

45373532160 has 768 divisors, whose sum is σ = 172092211200. Its totient is φ = 10085990400.

The previous prime is 45373532159. The next prime is 45373532203. The reversal of 45373532160 is 6123537354.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237557665 + ... + 237557855.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 245373532160 is an apocalyptic number.

45373532160 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 45373532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86046105600).

45373532160 is an abundant number, since it is smaller than the sum of its proper divisors (126718679040).

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

45373532160 is a wasteful number, since it uses less digits than its factorization.

45373532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 45373532160 in words is "forty-five billion, three hundred seventy-three million, five hundred thirty-two thousand, one hundred sixty".