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442368874764 = 223219646738121
BaseRepresentation
bin1100110111111110011…
…11010101100100001100
31120021211110002012202200
412123333033111210030
524221432412443024
6535115500121500
743650212252145
oct6337717254414
91507743065680
10442368874764
11160675774083
1271898536290
133293b3cc33b
14175a720aacc
15b7913592c9
hex66ff3d590c

442368874764 has 36 divisors (see below), whose sum is σ = 1177063382040. Its totient is φ = 139695433920.

The previous prime is 442368874763. The next prime is 442368874813. The reversal of 442368874764 is 467478863244.

442368874764 is a `hidden beast` number, since 4 + 4 + 23 + 68 + 87 + 476 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (442368874763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323368377 + ... + 323369744.

Almost surely, 2442368874764 is an apocalyptic number.

It is an amenable number.

442368874764 is an abundant number, since it is smaller than the sum of its proper divisors (734694507276).

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

442368874764 is a wasteful number, since it uses less digits than its factorization.

442368874764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646738150 (or 646738145 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 63.

The spelling of 442368874764 in words is "four hundred forty-two billion, three hundred sixty-eight million, eight hundred seventy-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 646738121 1293476242 1940214363 2586952484 3880428726 5820643089 7760857452 11641286178 12288024299 23282572356 24576048598 36864072897 49152097196 73728145794 110592218691 147456291588 221184437382 442368874764