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1045874321024 = 27131927922039
BaseRepresentation
bin11110011100000101111…
…01111010011010000000
310200222120210001101111212
433032002331322122000
5114113422311233044
62120245032225252
7135363512022131
oct17160275723200
93628523041455
101045874321024
113736098742a5
1214a84523b228
13778193820b0
1438898c69c88
151c313d0ca9e
hexf382f7a680

1045874321024 has 192 divisors, whose sum is σ = 2398251744000. Its totient is φ = 451496208384.

The previous prime is 1045874320991. The next prime is 1045874321027. The reversal of 1045874321024 is 4201234785401.

1045874321024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1045874321027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47444597 + ... + 47466635.

It is an arithmetic number, because the mean of its divisors is an integer number (12490894500).

Almost surely, 21045874321024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045874321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199125872000).

1045874321024 is an abundant number, since it is smaller than the sum of its proper divisors (1352377422976).

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

1045874321024 is a wasteful number, since it uses less digits than its factorization.

1045874321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22183 (or 22152 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 1045874321024 in words is "one trillion, forty-five billion, eight hundred seventy-four million, three hundred twenty-one thousand, twenty-four".