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422697882312 = 233289113583753
BaseRepresentation
bin1100010011010101100…
…00011101001011001000
31111102001112122021000200
412021222300131023020
523411141124213222
6522103522332200
742352563501006
oct6115260351310
91442045567020
10422697882312
111532a0a31322
1269b087ba060
1330b24c3a834
141665c8c9a76
15aede42beac
hex626ac1d2c8

422697882312 has 96 divisors (see below), whose sum is σ = 1167916627800. Its totient is φ = 138083033088.

The previous prime is 422697882283. The next prime is 422697882361. The reversal of 422697882312 is 213288796224.

422697882312 is a `hidden beast` number, since 422 + 69 + 78 + 82 + 3 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62417027556 + 360280854756 = 249834^2 + 600234^2 .

It is a super-2 number, since 2×4226978823122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432228 + ... + 1015980.

Almost surely, 2422697882312 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 422697882312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583958313900).

422697882312 is an abundant number, since it is smaller than the sum of its proper divisors (745218745488).

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

422697882312 is a wasteful number, since it uses less digits than its factorization.

422697882312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583967 (or 583960 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 422697882312 in words is "four hundred twenty-two billion, six hundred ninety-seven million, eight hundred eighty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 113 178 226 267 339 356 452 534 678 712 801 904 1017 1068 1356 1602 2034 2136 2712 3204 4068 6408 8136 10057 20114 30171 40228 60342 80456 90513 120684 181026 241368 362052 583753 724104 1167506 1751259 2335012 3502518 4670024 5253777 7005036 10507554 14010072 21015108 42030216 51954017 65964089 103908034 131928178 155862051 197892267 207816068 263856356 311724102 395784534 415632136 467586153 527712712 593676801 623448204 791569068 935172306 1187353602 1246896408 1583138136 1870344612 2374707204 3740689224 4749414408 5870803921 11741607842 17612411763 23483215684 35224823526 46966431368 52837235289 70449647052 105674470578 140899294104 211348941156 422697882312