Search a number
-
+
52976313195776 = 281922931267307
BaseRepresentation
bin11000000101110100000100…
…10101000101110100000000
320221120111010100112012201122
430002322002111011310000
523420430442134231101
6304400552102251412
714105261266234025
oct1402720225056400
9227514110465648
1052976313195776
1115975145789203
125b371b8126b68
13237384cac4999
14d120d271154c
1561d07eb2b51b
hex302e82545d00

52976313195776 has 648 divisors, whose sum is σ = 121471951376160. Its totient is φ = 23021966499840.

The previous prime is 52976313195763. The next prime is 52976313195779. The reversal of 52976313195776 is 67759131367925.

It is a super-2 number, since 2×529763131957762 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52976313195779) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172561280615 + ... + 172561280921.

Almost surely, 252976313195776 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 52976313195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60735975688080).

52976313195776 is an abundant number, since it is smaller than the sum of its proper divisors (68495638180384).

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

52976313195776 is a wasteful number, since it uses less digits than its factorization.

52976313195776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 455 counting only the distinct ones).

The product of its digits is 450084600, while the sum is 71.

The spelling of 52976313195776 in words is "fifty-two trillion, nine hundred seventy-six billion, three hundred thirteen million, one hundred ninety-five thousand, seven hundred seventy-six".