Search a number
-
+
45692573696 = 211721125371
BaseRepresentation
bin101010100011011111…
…010101100000000000
311100221101122020120022
4222203133111200000
51222034244324241
632554010233012
73205206316400
oct524337254000
9140841566508
1045692573696
11184182a2a00
128a32425768
134402550273
1422d6632800
1512c664554b
hexaa37d5800

45692573696 has 432 divisors, whose sum is σ = 120699830160. Its totient is φ = 17220403200.

The previous prime is 45692573671. The next prime is 45692573737. The reversal of 45692573696 is 69637529654.

It is a super-2 number, since 2×456925736962 (a number of 22 digits) contains 22 as substring.

Its product of digits (73483200) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 643557341 + ... + 643557411.

It is an arithmetic number, because the mean of its divisors is an integer number (279397755).

Almost surely, 245692573696 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 45692573696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60349915080).

45692573696 is an abundant number, since it is smaller than the sum of its proper divisors (75007256464).

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

45692573696 is a wasteful number, since it uses less digits than its factorization.

45692573696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 144 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 62.

The spelling of 45692573696 in words is "forty-five billion, six hundred ninety-two million, five hundred seventy-three thousand, six hundred ninety-six".