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452946639768 = 233731491177131
BaseRepresentation
bin1101001011101011011…
…10010011101110011000
31121022010122000100110220
412211311232103232120
524410113314433033
6544025242240040
744503303625160
oct6456556235630
91538118010426
10452946639768
1116510362a527
127394aab6020
13339359cb89c
1417ccbda95a0
15bbaece1bb3
hex6975b93b98

452946639768 has 128 divisors (see below), whose sum is σ = 1338607779840. Its totient is φ = 124982928000.

The previous prime is 452946639767. The next prime is 452946639791. The reversal of 452946639768 is 867936649254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452946639767) 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, 2468563 + ... + 2645693.

It is an arithmetic number, because the mean of its divisors is an integer number (10457873280).

Almost surely, 2452946639768 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 452946639768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669303889920).

452946639768 is an abundant number, since it is smaller than the sum of its proper divisors (885661140072).

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

452946639768 is a wasteful number, since it uses less digits than its factorization.

452946639768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177669 (or 177665 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 69.

The spelling of 452946639768 in words is "four hundred fifty-two billion, nine hundred forty-six million, six hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 491 651 744 868 982 1302 1473 1736 1964 2604 2946 3437 3928 5208 5892 6874 10311 11784 13748 15221 20622 27496 30442 41244 45663 60884 82488 91326 106547 121768 177131 182652 213094 319641 354262 365304 426188 531393 639282 708524 852376 1062786 1239917 1278564 1417048 2125572 2479834 2557128 3719751 4251144 4959668 5491061 7439502 9919336 10982122 14879004 16473183 21964244 29758008 32946366 38437427 43928488 65892732 76874854 86971321 115312281 131785464 153749708 173942642 230624562 260913963 307499416 347885284 461249124 521827926 608799247 695770568 922498248 1043655852 1217598494 1826397741 2087311704 2435196988 2696110951 3652795482 4870393976 5392221902 7305590964 8088332853 10784443804 14611181928 16176665706 18872776657 21568887608 32353331412 37745553314 56618329971 64706662824 75491106628 113236659942 150982213256 226473319884 452946639768