Search a number
-
+
45656132800 = 265228535083
BaseRepresentation
bin101010100001010100…
…010100110011000000
311100211212001212001111
4222201110110303000
51222000432222200
632550225213104
73204254503615
oct524124246300
9140755055044
1045656132800
11183a9773363
128a22191194
1343c7b316c5
1422d186850c
1512c33480ba
hexaa1514cc0

45656132800 has 42 divisors (see below), whose sum is σ = 112342625708. Its totient is φ = 18262452480.

The previous prime is 45656132791. The next prime is 45656132801. The reversal of 45656132800 is 823165654.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45656132801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14265942 + ... + 14269141.

Almost surely, 245656132800 is an apocalyptic number.

45656132800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45656132800 is an abundant number, since it is smaller than the sum of its proper divisors (66686492908).

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

45656132800 is a wasteful number, since it uses less digits than its factorization.

45656132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28535105 (or 28535090 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 45656132800 in words is "forty-five billion, six hundred fifty-six million, one hundred thirty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 28535083 57070166 114140332 142675415 228280664 285350830 456561328 570701660 713377075 913122656 1141403320 1426754150 1826245312 2282806640 2853508300 4565613280 5707016600 9131226560 11414033200 22828066400 45656132800