Search a number
-
+
257663222046 = 23315493080401
BaseRepresentation
bin1110111111110111101…
…1001100000100011110
3220122001222210212112000
43233331323030010132
513210143241101141
6314211401023130
724421064151666
oct3577573140436
9818058725460
10257663222046
119a30219840a
1241b2aa84aa6
131b3b38c80c9
14c6844911a6
156a8098d5b6
hex3bfdecc11e

257663222046 has 32 divisors (see below), whose sum is σ = 572954772000. Its totient is φ = 85832265600.

The previous prime is 257663222017. The next prime is 257663222051. The reversal of 257663222046 is 640222366752.

257663222046 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 632 + 2 + 2 + 0 + 4 + 6 = 666.

It is a super-2 number, since 2×2576632220462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257663221992 and 257663222010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1456555 + ... + 1623846.

It is an arithmetic number, because the mean of its divisors is an integer number (17904836625).

Almost surely, 2257663222046 is an apocalyptic number.

257663222046 is an abundant number, since it is smaller than the sum of its proper divisors (315291549954).

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

257663222046 is a wasteful number, since it uses less digits than its factorization.

257663222046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081961 (or 3081955 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 257663222046 its reverse (640222366752), we get a palindrome (897885588798).

The spelling of 257663222046 in words is "two hundred fifty-seven billion, six hundred sixty-three million, two hundred twenty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 1549 3098 4647 9294 13941 27882 41823 83646 3080401 6160802 9241203 18482406 27723609 55447218 83170827 166341654 4771541149 9543082298 14314623447 28629246894 42943870341 85887740682 128831611023 257663222046