Search a number
-
+
422965022976 = 28324731312479
BaseRepresentation
bin1100010011110101010…
…11100001000100000000
31111102202011022102010100
412021322223201010000
523412213021213401
6522150224202400
742362316242526
oct6117253410400
91442664272110
10422965022976
11153418802031
1269b82169400
1330b683a2032
1416686188316
15b007ae9b86
hex627aae1100

422965022976 has 216 divisors, whose sum is σ = 1249538734080. Its totient is φ = 137536708608.

The previous prime is 422965022951. The next prime is 422965022989. The reversal of 422965022976 is 679220569224.

422965022976 is a `hidden beast` number, since 4 + 22 + 96 + 502 + 29 + 7 + 6 = 666.

It is a super-2 number, since 2×4229650229762 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33887905 + ... + 33900383.

Almost surely, 2422965022976 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 422965022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624769367040).

422965022976 is an abundant number, since it is smaller than the sum of its proper divisors (826573711104).

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

422965022976 is a wasteful number, since it uses less digits than its factorization.

422965022976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12861 (or 12844 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 422965022976 in words is "four hundred twenty-two billion, nine hundred sixty-five million, twenty-two thousand, nine hundred seventy-six".