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45120825324 = 22321253356259
BaseRepresentation
bin101010000001011010…
…010010011111101100
311022110112210102020200
4222001122102133230
51214401412402244
632421143513500
73155064454461
oct520132223754
9138415712220
1045120825324
1118154590993
1288b2a58890
134340c66913
142280721668
151291358669
hexa816927ec

45120825324 has 18 divisors (see below), whose sum is σ = 114055419660. Its totient is φ = 15040275096.

The previous prime is 45120825313. The next prime is 45120825389. The reversal of 45120825324 is 42352802154.

45120825324 is a `hidden beast` number, since 45 + 1 + 2 + 0 + 82 + 532 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1253356259 = 45120825324 / (4 + 5 + 1 + 2 + 0 + 8 + 2 + 5 + 3 + 2 + 4).

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 5 ways as a sum of consecutive naturals, for example, 626678094 + ... + 626678165.

Almost surely, 245120825324 is an apocalyptic number.

It is an amenable number.

45120825324 is an abundant number, since it is smaller than the sum of its proper divisors (68934594336).

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

45120825324 is a wasteful number, since it uses less digits than its factorization.

45120825324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253356269 (or 1253356264 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45120825324 in words is "forty-five billion, one hundred twenty million, eight hundred twenty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1253356259 2506712518 3760068777 5013425036 7520137554 11280206331 15040275108 22560412662 45120825324