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45056753480928 = 25371712761750333
BaseRepresentation
bin10100011111010100101111…
…10010010011010011100000
312220112101100121201200112210
422033222113302103103200
521401202212342342203
6235454441540522120
712330146232324330
oct1217522762232340
9186471317650483
1045056753480928
11133a1509792882
1250783736b0340
131c1aaab6104b7
14b1aa8949b0c0
15532069b54803
hex28fa97c934e0

45056753480928 has 384 divisors, whose sum is σ = 144485053267968. Its totient is φ = 12000978468864.

The previous prime is 45056753480909. The next prime is 45056753480939. The reversal of 45056753480928 is 82908435765054.

45056753480928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450567534809282 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895148050 + ... + 895198382.

It is an arithmetic number, because the mean of its divisors is an integer number (376263159552).

Almost surely, 245056753480928 is an apocalyptic number.

45056753480928 is a gapful number since it is divisible by the number (48) 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 45056753480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72242526633984).

45056753480928 is an abundant number, since it is smaller than the sum of its proper divisors (99428299787040).

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

45056753480928 is a wasteful number, since it uses less digits than its factorization.

45056753480928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51114 (or 51106 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 66.

The spelling of 45056753480928 in words is "forty-five trillion, fifty-six billion, seven hundred fifty-three million, four hundred eighty thousand, nine hundred twenty-eight".