Search a number
-
+
45506597796 = 223311437312203
BaseRepresentation
bin101010011000011001…
…111001001110100100
311100110102200200121000
4222120121321032210
51221144142112141
632523324153300
73200460461532
oct523031711644
9140412620530
1045506597796
1118332319510
1289a0098830
1343a2b6635a
1422b9a61152
1512b515b5b6
hexa986793a4

45506597796 has 192 divisors, whose sum is σ = 133513712640. Its totient is φ = 13283585280.

The previous prime is 45506597791. The next prime is 45506597797. The reversal of 45506597796 is 69779560554.

45506597796 is a `hidden beast` number, since 4 + 5 + 506 + 59 + 7 + 79 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (45506597791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3723031 + ... + 3735233.

It is an arithmetic number, because the mean of its divisors is an integer number (695383920).

Almost surely, 245506597796 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 45506597796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66756856320).

45506597796 is an abundant number, since it is smaller than the sum of its proper divisors (88007114844).

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

45506597796 is a wasteful number, since it uses less digits than its factorization.

45506597796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12343 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 45506597796 in words is "forty-five billion, five hundred six million, five hundred ninety-seven thousand, seven hundred ninety-six".