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45643306368 = 273112982337
BaseRepresentation
bin101010100000100011…
…011001010110000000
311100210221221012111110
4222200203121112000
51221434141300433
632545050243320
73204040463022
oct524043312600
9140727835443
1045643306368
11183a2502700
128a19a26540
1343c52904ba
1422cdc8a012
1512c2162963
hexaa08d9580

45643306368 has 96 divisors (see below), whose sum is σ = 133263973080. Its totient is φ = 13831290880.

The previous prime is 45643306367. The next prime is 45643306381. The reversal of 45643306368 is 86360334654.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×456433063682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45643306361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444705 + ... + 537632.

Almost surely, 245643306368 is an apocalyptic number.

45643306368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45643306368 is an abundant number, since it is smaller than the sum of its proper divisors (87620666712).

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

45643306368 is a wasteful number, since it uses less digits than its factorization.

45643306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982376 (or 982353 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 45643306368 in words is "forty-five billion, six hundred forty-three million, three hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 982337 1964674 2947011 3929348 5894022 7858696 10805707 11788044 15717392 21611414 23576088 31434784 32417121 43222828 47152176 62869568 64834242 86445656 94304352 118862777 125739136 129668484 172891312 188608704 237725554 259336968 345782624 356588331 377217408 475451108 518673936 691565248 713176662 950902216 1037347872 1383130496 1426353324 1901804432 2074695744 2852706648 3803608864 4149391488 5705413296 7607217728 11410826592 15214435456 22821653184 45643306368