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45244300546320 = 24354139777314983
BaseRepresentation
bin10100100100110010000100…
…11101100101000100010000
312221012022110002121202012220
422102121002131211010100
521412240311414440240
6240120540021221040
712346535642143461
oct1222310235450420
9187168402552186
1045244300546320
1113464000161987
1250a8794861780
131c326999b14c5
14b25b9b73ad68
15536d94bda5d0
hex292642765110

45244300546320 has 320 divisors, whose sum is σ = 144236117297664. Its totient is φ = 11725253591040.

The previous prime is 45244300546309. The next prime is 45244300546327. The reversal of 45244300546320 is 2364500344254.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45244300546327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3019701549 + ... + 3019716531.

Almost surely, 245244300546320 is an apocalyptic number.

45244300546320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45244300546320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72118058648832).

45244300546320 is an abundant number, since it is smaller than the sum of its proper divisors (98991816751344).

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

45244300546320 is a wasteful number, since it uses less digits than its factorization.

45244300546320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 45244300546320 in words is "forty-five trillion, two hundred forty-four billion, three hundred million, five hundred forty-six thousand, three hundred twenty".