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56016055056 = 243131922321187
BaseRepresentation
bin110100001010110100…
…010010101100010000
312100120212002102200210
4310022310102230100
51404210102230211
641422230244120
74022062416603
oct641264225420
9170525072623
1056016055056
112183566a285
12aa337b6640
13538926a410
1429d571c33a
1516ccaee9a6
hexd0ad12b10

56016055056 has 160 divisors (see below), whose sum is σ = 164785008640. Its totient is φ = 16254577152.

The previous prime is 56016055049. The next prime is 56016055057. The reversal of 56016055056 is 65055061065.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (56016055057) 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, 2633295 + ... + 2654481.

It is an arithmetic number, because the mean of its divisors is an integer number (1029906304).

Almost surely, 256016055056 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 56016055056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82392504320).

56016055056 is an abundant number, since it is smaller than the sum of its proper divisors (108768953584).

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

56016055056 is a wasteful number, since it uses less digits than its factorization.

56016055056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21453 (or 21447 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 56016055056 in words is "fifty-six billion, sixteen million, fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 223 228 247 304 312 446 456 494 624 669 741 892 912 988 1338 1482 1784 1976 2676 2899 2964 3568 3952 4237 5352 5798 5928 8474 8697 10704 11596 11856 12711 16948 17394 21187 23192 25422 33896 34788 42374 46384 50844 55081 63561 67792 69576 84748 101688 110162 127122 139152 165243 169496 203376 220324 254244 275431 330486 338992 402553 440648 508488 550862 660972 805106 826293 881296 1016976 1101724 1207659 1321944 1610212 1652586 2203448 2415318 2643888 3220424 3305172 4406896 4724701 4830636 5233189 6440848 6610344 9449402 9661272 10466378 13220688 14174103 15699567 18898804 19322544 20932756 28348206 31399134 37797608 41865512 56696412 61421113 62798268 75595216 83731024 89769319 113392824 122842226 125596536 179538638 184263339 226785648 245684452 251193072 269307957 359077276 368526678 491368904 538615914 718154552 737053356 982737808 1077231828 1167001147 1436309104 1474106712 2154463656 2334002294 2948213424 3501003441 4308927312 4668004588 7002006882 9336009176 14004013764 18672018352 28008027528 56016055056