Search a number
-
+
232563657656 = 23116799739563
BaseRepresentation
bin1101100010010111011…
…1111100101110111000
3211020021202112220001002
43120211313330232320
512302242244021111
6254501022144132
722542100321301
oct3304567745670
9736252486032
10232563657656
118a6a2138170
12390a5122048
1318c13871465
14b382bcb7a8
1560b21a063b
hex3625dfcbb8

232563657656 has 64 divisors (see below), whose sum is σ = 483294833280. Its totient is φ = 104025905280.

The previous prime is 232563657619. The next prime is 232563657661. The reversal of 232563657656 is 656756365232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5858531 + ... + 5898093.

It is an arithmetic number, because the mean of its divisors is an integer number (7551481770).

Almost surely, 2232563657656 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 232563657656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241647416640).

232563657656 is an abundant number, since it is smaller than the sum of its proper divisors (250731175624).

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

232563657656 is a wasteful number, since it uses less digits than its factorization.

232563657656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644 (or 40640 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 56.

The spelling of 232563657656 in words is "two hundred thirty-two billion, five hundred sixty-three million, six hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 997 1474 1994 2948 3988 5896 7976 10967 21934 39563 43868 66799 79126 87736 133598 158252 267196 316504 435193 534392 734789 870386 1469578 1740772 2650721 2939156 3481544 5301442 5878312 10602884 21205768 29157931 39444311 58315862 78888622 116631724 157777244 233263448 315554488 433887421 867774842 1735549684 2642768837 3471099368 5285537674 10571075348 21142150696 29070457207 58140914414 116281828828 232563657656