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422868498768 = 24326869427513
BaseRepresentation
bin1100010011101001110…
…11010011100101010000
31111102111102200110210200
412021310323103211100
523412013313430033
6522132455255200
742360034635042
oct6116473234520
91442442613720
10422868498768
11153379274a61
1269b5597a500
1330b513a7611
141667741da92
15aeee3d0013
hex6274ed3950

422868498768 has 60 divisors (see below), whose sum is σ = 1183619535540. Its totient is φ = 140935315968.

The previous prime is 422868498727. The next prime is 422868498781. The reversal of 422868498768 is 867894868224.

422868498768 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 68 + 498 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60835235904 + 362033262864 = 246648^2 + 601692^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 422868498696 and 422868498705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775380 + ... + 1202892.

It is an arithmetic number, because the mean of its divisors is an integer number (19726992259).

Almost surely, 2422868498768 is an apocalyptic number.

422868498768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

422868498768 is an abundant number, since it is smaller than the sum of its proper divisors (760751036772).

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

422868498768 is a wasteful number, since it uses less digits than its factorization.

422868498768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434396 (or 434387 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 422868498768 in words is "four hundred twenty-two billion, eight hundred sixty-eight million, four hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6869 13738 20607 27476 41214 54952 61821 82428 109904 123642 164856 247284 329712 427513 494568 855026 989136 1282539 1710052 2565078 3420104 3847617 5130156 6840208 7695234 10260312 15390468 20520624 30780936 61561872 2936586797 5873173594 8809760391 11746347188 17619520782 23492694376 26429281173 35239041564 46985388752 52858562346 70478083128 105717124692 140956166256 211434249384 422868498768