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256634632650 = 2352111109140249
BaseRepresentation
bin1110111100000010011…
…1011011100111001010
3220112102022100010010110
43233000213123213022
513201041431221100
6313521334455150
724353434246044
oct3570047334712
9815368303113
10256634632650
1199924617a30
12418a25044b6
131b27b78b026
14c5c7a20a94
156a20511250
hex3bc09db9ca

256634632650 has 96 divisors (see below), whose sum is σ = 694944360000. Its totient is φ = 62157913600.

The previous prime is 256634632633. The next prime is 256634632669. The reversal of 256634632650 is 56236436652.

It is a happy number.

It is a super-2 number, since 2×2566346326502 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 256634632650.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759726 + ... + 1899974.

It is an arithmetic number, because the mean of its divisors is an integer number (7239003750).

Almost surely, 2256634632650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256634632650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472180000).

256634632650 is an abundant number, since it is smaller than the sum of its proper divisors (438309727350).

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

256634632650 is a wasteful number, since it uses less digits than its factorization.

256634632650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141384 (or 141379 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 256634632650 in words is "two hundred fifty-six billion, six hundred thirty-four million, six hundred thirty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1109 1650 2218 3327 5545 6654 11090 12199 16635 24398 27725 33270 36597 55450 60995 73194 83175 121990 140249 166350 182985 280498 304975 365970 420747 609950 701245 841494 914925 1402490 1542739 1829850 2103735 3085478 3506225 4207470 4628217 7012450 7713695 9256434 10518675 15427390 21037350 23141085 38568475 46282170 77136950 115705425 155536141 231410850 311072282 466608423 777680705 933216846 1555361410 1710897551 2333042115 3421795102 3888403525 4666084230 5132692653 7776807050 8554487755 10265385306 11665210575 17108975510 23330421150 25663463265 42772438775 51326926530 85544877550 128317316325 256634632650