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45126938304 = 2632719589063
BaseRepresentation
bin101010000001110001…
…100110111011000000
311022110222021222200100
4222001301212323000
51214404444011204
632421522522400
73155200434540
oct520161467300
9138428258610
1045126938304
1118157a86738
1288b4b06400
1343422c7176
142281473320
151291b64a39
hexa81c66ec0

45126938304 has 168 divisors, whose sum is σ = 155607146240. Its totient is φ = 12214789632.

The previous prime is 45126938267. The next prime is 45126938317. The reversal of 45126938304 is 40383962154.

45126938304 is a `hidden beast` number, since 4 + 5 + 1 + 269 + 383 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 45126938304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217924 + ... + 371139.

Almost surely, 245126938304 is an apocalyptic number.

It is an amenable number.

45126938304 is an abundant number, since it is smaller than the sum of its proper divisors (110480207936).

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

45126938304 is a wasteful number, since it uses less digits than its factorization.

45126938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589107 (or 589094 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 45126938304 in words is "forty-five billion, one hundred twenty-six million, nine hundred thirty-eight thousand, three hundred four".