Search a number
-
+
5736605772768 = 2531337432889151
BaseRepresentation
bin101001101111010100001…
…0110010110101111100000
3202022102011220211110012220
41103132220112112233200
51222442032034212033
620111205454351040
71131312303344223
oct123365026265740
922272156743186
105736605772768
111911976451022
127879617bb480
13327c6232c380
1415b9205515ba
159e3502e8bb3
hex537a8596be0

5736605772768 has 192 divisors, whose sum is σ = 17042576044032. Its totient is φ = 1677463603200.

The previous prime is 5736605772721. The next prime is 5736605772773. The reversal of 5736605772768 is 8672775066375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540993 + ... + 3430143.

It is an arithmetic number, because the mean of its divisors is an integer number (88763416896).

Almost surely, 25736605772768 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 5736605772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521288022016).

5736605772768 is an abundant number, since it is smaller than the sum of its proper divisors (11305970271264).

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

5736605772768 is a wasteful number, since it uses less digits than its factorization.

5736605772768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889257 (or 2889249 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 69.

The spelling of 5736605772768 in words is "five trillion, seven hundred thirty-six billion, six hundred five million, seven hundred seventy-two thousand, seven hundred sixty-eight".