Search a number
-
+
45657687474 = 2357176711783
BaseRepresentation
bin101010100001011010…
…010000010110110010
311100211221222211200000
4222201122100112302
51222001331444344
632550322410430
73204303640320
oct524132202662
9140757884600
1045657687474
11183aa635413
128a22800a16
1343c8257229
1422d1b50d10
1512c3553a69
hexaa16905b2

45657687474 has 192 divisors, whose sum is σ = 126004709376. Its totient is φ = 12093421824.

The previous prime is 45657687443. The next prime is 45657687479. The reversal of 45657687474 is 47478675654.

45657687474 is a `hidden beast` number, since 4 + 56 + 57 + 68 + 7 + 474 = 666.

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 (45657687479) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3868987 + ... + 3880769.

It is an arithmetic number, because the mean of its divisors is an integer number (656274528).

Almost surely, 245657687474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45657687474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63002354688).

45657687474 is an abundant number, since it is smaller than the sum of its proper divisors (80347021902).

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

45657687474 is a wasteful number, since it uses less digits than its factorization.

45657687474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11891 (or 11879 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 45657687474 in words is "forty-five billion, six hundred fifty-seven million, six hundred eighty-seven thousand, four hundred seventy-four".