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45097433568 = 25321114235301
BaseRepresentation
bin101010000000000001…
…000011100111100000
311022101220202222210100
4222000001003213200
51214324420333233
632414550302400
73154361601105
oct520001034740
9138356688710
1045097433568
1118142364360
1288a7057a00
134339166745
14227b592aac
15128e287813
hexa800439e0

45097433568 has 72 divisors (see below), whose sum is σ = 139904548056. Its totient is φ = 13665888000.

The previous prime is 45097433567. The next prime is 45097433581. The reversal of 45097433568 is 86533479054.

45097433568 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 74 + 3 + 3 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45097433567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7114483 + ... + 7120818.

It is an arithmetic number, because the mean of its divisors is an integer number (1943118723).

Almost surely, 245097433568 is an apocalyptic number.

45097433568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45097433568 is an abundant number, since it is smaller than the sum of its proper divisors (94807114488).

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

45097433568 is a wasteful number, since it uses less digits than its factorization.

45097433568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14235328 (or 14235317 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 45097433568 in words is "forty-five billion, ninety-seven million, four hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 14235301 28470602 42705903 56941204 85411806 113882408 128117709 156588311 170823612 227764816 256235418 313176622 341647224 455529632 469764933 512470836 626353244 683294448 939529866 1024941672 1252706488 1366588896 1409294799 1879059732 2049883344 2505412976 2818589598 3758119464 4099766688 5010825952 5637179196 7516238928 11274358392 15032477856 22548716784 45097433568