Search a number
-
+
42877005696 = 273373157173
BaseRepresentation
bin100111111011101010…
…110010111110000000
311002200011122120101000
4213323222302332000
51200303003140241
631410351012000
73045350351340
oct477352627600
9132604576330
1042877005696
1117202a51aa8
12838750a000
134074131cb5
14210a718d20
1511ae382eb6
hex9fbab2f80

42877005696 has 256 divisors, whose sum is σ = 149292748800. Its totient is φ = 11855185920.

The previous prime is 42877005649. The next prime is 42877005733. The reversal of 42877005696 is 69650077824.

42877005696 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 70 + 0 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 721366 + ... + 778538.

It is an arithmetic number, because the mean of its divisors is an integer number (583174800).

Almost surely, 242877005696 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 42877005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74646374400).

42877005696 is an abundant number, since it is smaller than the sum of its proper divisors (106415743104).

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

42877005696 is a wasteful number, since it uses less digits than its factorization.

42877005696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57234 (or 57216 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 42877005696 in words is "forty-two billion, eight hundred seventy-seven million, five thousand, six hundred ninety-six".