Search a number
-
+
56736610368 = 2632111400489
BaseRepresentation
bin110100110101110000…
…111111100001000000
312102110001221102202120
4310311300333201000
51412144033012433
642021530244240
74045662142134
oct646560774100
9172401842676
1056736610368
1122075379139
12abb4b86680
1354726258c9
142a632c73c4
151720ed27b3
hexd35c3f840

56736610368 has 56 divisors (see below), whose sum is σ = 150827171040. Its totient is φ = 18822558720.

The previous prime is 56736610351. The next prime is 56736610379. The reversal of 56736610368 is 86301663765.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56736610368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659733 + ... + 740756.

It is an arithmetic number, because the mean of its divisors is an integer number (2693342340).

Almost surely, 256736610368 is an apocalyptic number.

It is an amenable number.

56736610368 is an abundant number, since it is smaller than the sum of its proper divisors (94090560672).

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

56736610368 is a wasteful number, since it uses less digits than its factorization.

56736610368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400715 (or 1400705 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 56736610368 in words is "fifty-six billion, seven hundred thirty-six million, six hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 40512 1400489 2800978 4201467 5601956 8402934 11203912 16805868 22407824 33611736 44815648 67223472 89631296 134446944 268893888 295503179 591006358 886509537 1182012716 1773019074 2364025432 3546038148 4728050864 7092076296 9456101728 14184152592 18912203456 28368305184 56736610368