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6696008256 = 263726918521
BaseRepresentation
bin1100011110001110…
…01111101001000000
3122021122201110111210
412033013033221000
5102203134231011
63024234410120
7324635062650
oct61707175100
918248643453
106696008256
1129267a4123
12136a590940
1382933b282
14477428360
15292cbc6a6
hex18f1cfa40

6696008256 has 112 divisors (see below), whose sum is σ = 20323820160. Its totient is φ = 1905930240.

The previous prime is 6696008213. The next prime is 6696008279. The reversal of 6696008256 is 6528006966.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 352276 + ... + 370796.

It is an arithmetic number, because the mean of its divisors is an integer number (181462680).

Almost surely, 26696008256 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 6696008256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10161910080).

6696008256 is an abundant number, since it is smaller than the sum of its proper divisors (13627811904).

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

6696008256 is a wasteful number, since it uses less digits than its factorization.

6696008256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18812 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 6696008256 is about 81829.1406285072. The cubic root of 6696008256 is about 1884.8291660832.

The spelling of 6696008256 in words is "six billion, six hundred ninety-six million, eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 269 336 448 538 672 807 1076 1344 1614 1883 2152 3228 3766 4304 5649 6456 7532 8608 11298 12912 15064 17216 18521 22596 25824 30128 37042 45192 51648 55563 60256 74084 90384 111126 120512 129647 148168 180768 222252 259294 296336 361536 388941 444504 518588 592672 777882 889008 1037176 1185344 1555764 1778016 2074352 3111528 3556032 4148704 4982149 6223056 8297408 9964298 12446112 14946447 19928596 24892224 29892894 34875043 39857192 59785788 69750086 79714384 104625129 119571576 139500172 159428768 209250258 239143152 279000344 318857536 418500516 478286304 558000688 837001032 956572608 1116001376 1674002064 2232002752 3348004128 6696008256