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56600263008 = 2532617318523
BaseRepresentation
bin110100101101101000…
…110111100101100000
312102002120101021100100
4310231220313211200
51411404131404013
642000220022400
74042415204022
oct645550674540
9172076337310
1056600263008
1122005411373
12ab77391a00
1354502c6cb3
142a4d154012
15171404d473
hexd2da37960

56600263008 has 72 divisors (see below), whose sum is σ = 161218374408. Its totient is φ = 18836116992.

The previous prime is 56600263007. The next prime is 56600263039. The reversal of 56600263008 is 80036200665.

56600263008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56600263007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18435 + ... + 336957.

It is an arithmetic number, because the mean of its divisors is an integer number (2239144089).

Almost surely, 256600263008 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 56600263008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80609187204).

56600263008 is an abundant number, since it is smaller than the sum of its proper divisors (104618111400).

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

56600263008 is a wasteful number, since it uses less digits than its factorization.

56600263008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319156 (or 319145 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56600263008 in words is "fifty-six billion, six hundred million, two hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 617 1234 1851 2468 3702 4936 5553 7404 9872 11106 14808 19744 22212 29616 44424 59232 88848 177696 318523 637046 955569 1274092 1911138 2548184 2866707 3822276 5096368 5733414 7644552 10192736 11466828 15289104 22933656 30578208 45867312 91734624 196528691 393057382 589586073 786114764 1179172146 1572229528 1768758219 2358344292 3144459056 3537516438 4716688584 6288918112 7075032876 9433377168 14150065752 18866754336 28300131504 56600263008