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56863000348 = 227111920534733
BaseRepresentation
bin110100111101010011…
…001000011100011100
312102202212202201012221
4310331103020130130
51412423412002343
642042243235124
74052055346060
oct647523103434
9172685681187
1056863000348
112212a754870
12b02b378aa4
13549287918b
142a75dc7aa0
15172c14b5ed
hexd3d4c871c

56863000348 has 96 divisors (see below), whose sum is σ = 130685667840. Its totient is φ = 20973738240.

The previous prime is 56863000343. The next prime is 56863000357. The reversal of 56863000348 is 84300036865.

56863000348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×568630003482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56863000343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12011790 + ... + 12016522.

It is an arithmetic number, because the mean of its divisors is an integer number (1361309040).

Almost surely, 256863000348 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 56863000348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65342833920).

56863000348 is an abundant number, since it is smaller than the sum of its proper divisors (73822667492).

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

56863000348 is a wasteful number, since it uses less digits than its factorization.

56863000348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 56863000348 in words is "fifty-six billion, eight hundred sixty-three million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2053 2926 4106 4733 5852 8212 9466 14371 18932 22583 28742 33131 39007 45166 52063 57484 66262 78014 89927 90332 104126 132524 156028 158081 179854 208252 273049 316162 359708 364441 429077 546098 629489 632324 728882 858154 989197 1092196 1258978 1457764 1716308 1978394 2517956 3003539 3956788 6007078 6924379 9716849 12014156 13848758 19433698 27697516 38867396 68017943 106885339 136035886 184620131 213770678 272071772 369240262 427541356 738480524 748197373 1292340917 1496394746 2030821441 2584681834 2992789492 4061642882 5169363668 8123285764 14215750087 28431500174 56863000348