Search a number
-
+
45692494848 = 21033711132127
BaseRepresentation
bin101010100011011111…
…000010010000000000
311100221101111020102000
4222203133002100000
51222034234313343
632554004424000
73205205540460
oct524337022000
9140841436360
1045692494848
1118418249740
128a323a8000
134402523400
1422d6611ba0
1512c662bed3
hexaa37c2400

45692494848 has 1056 divisors, whose sum is σ = 184123883520. Its totient is φ = 10868981760.

The previous prime is 45692494847. The next prime is 45692494879. The reversal of 45692494848 is 84849429654.

45692494848 is a `hidden beast` number, since 4 + 5 + 69 + 2 + 494 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45692494847) 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 95 ways as a sum of consecutive naturals, for example, 359783361 + ... + 359783487.

Almost surely, 245692494848 is an apocalyptic number.

45692494848 is a gapful number since it is divisible by the number (48) 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 45692494848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92061941760).

45692494848 is an abundant number, since it is smaller than the sum of its proper divisors (138431388672).

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

45692494848 is a wasteful number, since it uses less digits than its factorization.

45692494848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 45692494848 in words is "forty-five billion, six hundred ninety-two million, four hundred ninety-four thousand, eight hundred forty-eight".