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45053507230368 = 25372132531291089
BaseRepresentation
bin10100011111001110101100…
…10010110101101010100000
312220112001222101100001221120
422033213112102311222200
521401124040322332433
6235453143454252240
712330002623544100
oct1217472622655240
9186461871301846
1045053507230368
11133a00a331a77a
1250778084b7080
131c1a6b1bca090
14b1a85c2b3200
15531e29b6c7b3
hex28f9d64b5aa0

45053507230368 has 288 divisors, whose sum is σ = 148215771708480. Its totient is φ = 11877508177920.

The previous prime is 45053507230357. The next prime is 45053507230409. The reversal of 45053507230368 is 86303270535054.

45053507230368 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-3 number, since 3×450535072303683 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45053507230368.

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 47 ways as a sum of consecutive naturals, for example, 154630168 + ... + 154921256.

It is an arithmetic number, because the mean of its divisors is an integer number (514638096210).

Almost surely, 245053507230368 is an apocalyptic number.

45053507230368 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 45053507230368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74107885854240).

45053507230368 is an abundant number, since it is smaller than the sum of its proper divisors (103162264478112).

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

45053507230368 is a wasteful number, since it uses less digits than its factorization.

45053507230368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293660 (or 293645 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 51.

The spelling of 45053507230368 in words is "forty-five trillion, fifty-three billion, five hundred seven million, two hundred thirty thousand, three hundred sixty-eight".