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4027045432959 = 3223925167311083
BaseRepresentation
bin111010100110011110100…
…111001100111001111111
3112020222111201110001021100
4322212132213030321333
51011434342112323314
612321555451304143
7563641640252643
oct72463647147177
915228451401240
104027045432959
11131295118675a
1255057544b053
132329970259c3
14dcca520ac23
156eb45516c09
hex3a99e9cce7f

4027045432959 has 48 divisors (see below), whose sum is σ = 5873697123840. Its totient is φ = 2658616128000.

The previous prime is 4027045432933. The next prime is 4027045433017. The reversal of 4027045432959 is 9592345407204.

It is a happy number.

4027045432959 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 0 + 4 + 543 + 2 + 95 + 9 = 666.

It is not a de Polignac number, because 4027045432959 - 28 = 4027045432703 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4027045430959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363347832 + ... + 363358914.

It is an arithmetic number, because the mean of its divisors is an integer number (122368690080).

Almost surely, 24027045432959 is an apocalyptic number.

4027045432959 is a deficient number, since it is larger than the sum of its proper divisors (1846651690881).

4027045432959 is a wasteful number, since it uses less digits than its factorization.

4027045432959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12252 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 4027045432959 in words is "four trillion, twenty-seven billion, forty-five million, four hundred thirty-two thousand, nine hundred fifty-nine".

Divisors: 1 3 9 239 251 673 717 753 2019 2151 2259 6057 11083 33249 59989 99747 160847 168923 179967 482541 506769 539901 1447623 1520307 2648837 2781833 7458859 7946511 8345499 22376577 23839533 25036497 40372597 67129731 121117791 363353373 664858087 1782667301 1872173609 1994574261 5348001903 5616520827 5983722783 16044005709 16849562481 447449492551 1342348477653 4027045432959