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56364438328 = 231131131157721
BaseRepresentation
bin110100011111100101…
…010001001100111000
312101111010122010200221
4310133211101030320
51410413244011303
641520553305424
74033522551352
oct643745211470
9171433563627
1056364438328
11219a428a840
12ab10405274
1354134a8773
142a29ac80d2
1516ed4b94bd
hexd1f951338

56364438328 has 64 divisors (see below), whose sum is σ = 119919191040. Its totient is φ = 24604320000.

The previous prime is 56364438293. The next prime is 56364438331. The reversal of 56364438328 is 82383446365.

56364438328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 278508 + ... + 436228.

It is an arithmetic number, because the mean of its divisors is an integer number (1873737360).

Almost surely, 256364438328 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 56364438328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59959595520).

56364438328 is an abundant number, since it is smaller than the sum of its proper divisors (63554752712).

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

56364438328 is a wasteful number, since it uses less digits than its factorization.

56364438328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157900 (or 157896 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 52.

The spelling of 56364438328 in words is "fifty-six billion, three hundred sixty-four million, four hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 131 248 262 341 524 682 1048 1364 1441 2728 2882 4061 5764 8122 11528 16244 32488 44671 89342 157721 178684 315442 357368 630884 1261768 1734931 3469862 4889351 6939724 9778702 13879448 19557404 20661451 39114808 41322902 53782861 82645804 107565722 165291608 215131444 227275961 430262888 454551922 640504981 909103844 1281009962 1818207688 2562019924 5124039848 7045554791 14091109582 28182219164 56364438328