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52223112656 = 241113432811889
BaseRepresentation
bin110000101000101111…
…010111010111010000
311222210111222222212122
4300220233113113100
51323423104101111
635554014313412
73526065063521
oct605057272720
9158714888778
1052223112656
1120169649540
12a1554b8868
134c035044c0
142755aa6848
151559b29cdb
hexc28bd75d0

52223112656 has 160 divisors (see below), whose sum is σ = 122133432960. Its totient is φ = 21314764800.

The previous prime is 52223112577. The next prime is 52223112727. The reversal of 52223112656 is 65621132225.

52223112656 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 31 ways as a sum of consecutive naturals, for example, 27644960 + ... + 27646848.

It is an arithmetic number, because the mean of its divisors is an integer number (763333956).

Almost surely, 252223112656 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 52223112656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61066716480).

52223112656 is an abundant number, since it is smaller than the sum of its proper divisors (69910320304).

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

52223112656 is a wasteful number, since it uses less digits than its factorization.

52223112656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2239 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The spelling of 52223112656 in words is "fifty-two billion, two hundred twenty-three million, one hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 43 44 52 86 88 104 143 172 176 208 281 286 344 473 559 562 572 688 946 1118 1124 1144 1889 1892 2236 2248 2288 3091 3653 3778 3784 4472 4496 6149 6182 7306 7556 7568 8944 12083 12298 12364 14612 15112 20779 24166 24557 24596 24728 29224 30224 40183 41558 48332 49114 49192 49456 58448 80366 81227 83116 96664 98228 98384 132913 157079 160732 162454 166232 193328 196456 265826 270127 314158 321464 324908 332464 392912 530809 531652 540254 628316 642928 649816 893497 1055951 1061618 1063304 1080508 1256632 1299632 1727869 1786994 2111902 2123236 2126608 2161016 2513264 3455738 3573988 4223804 4246472 4322032 5838899 6900517 6911476 7147976 8447608 8492944 11615461 11677798 13801034 13822952 14295952 16895216 22824787 23230922 23355596 27602068 27645904 45649574 46461844 46711192 55204136 75905687 91299148 92923688 93422384 110408272 151811374 182598296 185847376 251072657 296722231 303622748 365196592 502145314 593444462 607245496 1004290628 1186888924 1214490992 2008581256 2373777848 3263944541 4017162512 4747555696 6527889082 13055778164 26111556328 52223112656