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45362886048 = 2532712218451
BaseRepresentation
bin101010001111110101…
…101011010110100000
311100002102021101010200
4222033311223112200
51220400344323143
632501152025200
73164064112044
oct521765532640
9140072241120
1045362886048
1118269191777
12895bb32200
13437c15970c
1422a4932024
1512a77201d3
hexa8fd6b5a0

45362886048 has 72 divisors (see below), whose sum is σ = 130817677536. Its totient is φ = 14907984000.

The previous prime is 45362886047. The next prime is 45362886059. The reversal of 45362886048 is 84068826354.

45362886048 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 28 + 8 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 45362885985 and 45362886003.

It is not an unprimeable number, because it can be changed into a prime (45362886047) by changing a digit.

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, 1088778 + ... + 1129673.

It is an arithmetic number, because the mean of its divisors is an integer number (1816912188).

Almost surely, 245362886048 is an apocalyptic number.

45362886048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45362886048 is an abundant number, since it is smaller than the sum of its proper divisors (85454791488).

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

45362886048 is a wasteful number, since it uses less digits than its factorization.

45362886048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218538 (or 2218527 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 45362886048 in words is "forty-five billion, three hundred sixty-two million, eight hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 2218451 4436902 6655353 8873804 13310706 17747608 19966059 26621412 35495216 39932118 53242824 70990432 79864236 106485648 157510021 159728472 212971296 315020042 319456944 472530063 630040084 638913888 945060126 1260080168 1417590189 1890120252 2520160336 2835180378 3780240504 5040320672 5670360756 7560481008 11340721512 15120962016 22681443024 45362886048