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45823663296 = 2632601132371
BaseRepresentation
bin101010101011010011…
…011001110011000000
311101021112022021200200
4222223103121303000
51222321324211141
633015012045200
73211360465665
oct525323316300
9141245267620
1045823663296
1118485299514
128a6a303800
13442375a988
142309bd7a6c
1512d2ddbab6
hexaab4d9cc0

45823663296 has 84 divisors (see below), whose sum is σ = 131564795544. Its totient is φ = 15249024000.

The previous prime is 45823663289. The next prime is 45823663349. The reversal of 45823663296 is 69236632854.

It is a happy number.

45823663296 is a `hidden beast` number, since 4 + 582 + 36 + 6 + 3 + 29 + 6 = 666.

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 11 ways as a sum of consecutive naturals, for example, 279991 + ... + 412361.

It is an arithmetic number, because the mean of its divisors is an integer number (1566247566).

Almost surely, 245823663296 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 45823663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65782397772).

45823663296 is an abundant number, since it is smaller than the sum of its proper divisors (85741132248).

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

45823663296 is a wasteful number, since it uses less digits than its factorization.

45823663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132990 (or 132977 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 45823663296 in words is "forty-five billion, eight hundred twenty-three million, six hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 601 1202 1803 2404 3606 4808 5409 7212 9616 10818 14424 19232 21636 28848 38464 43272 57696 86544 115392 132371 173088 264742 346176 397113 529484 794226 1058968 1191339 1588452 2117936 2382678 3176904 4235872 4765356 6353808 8471744 9530712 12707616 19061424 25415232 38122848 76245696 79554971 159109942 238664913 318219884 477329826 636439768 715994739 954659652 1272879536 1431989478 1909319304 2545759072 2863978956 3818638608 5091518144 5727957912 7637277216 11455915824 15274554432 22911831648 45823663296