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4127082867252 = 2232373098410561
BaseRepresentation
bin111100000011101001010…
…011101110101000110100
3112121112201111112020201100
4330003221103232220310
51020104231203223002
612435542232530100
7604112650362222
oct74035123565064
915545644466640
104127082867252
11135131675a794
12567a33850930
1323c24a5111c7
14103a75213b12
157254cb9811c
hex3c0e94eea34

4127082867252 has 36 divisors (see below), whose sum is σ = 10714303723396. Its totient is φ = 1338513361920.

The previous prime is 4127082867247. The next prime is 4127082867253. The reversal of 4127082867252 is 2527682807214.

It is a happy number.

4127082867252 is a `hidden beast` number, since 41 + 2 + 70 + 8 + 286 + 7 + 252 = 666.

4127082867252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1614337960356 + 2512744906896 = 1270566^2 + 1585164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127082867253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1549203949 + ... + 1549206612.

Almost surely, 24127082867252 is an apocalyptic number.

It is an amenable number.

4127082867252 is an abundant number, since it is smaller than the sum of its proper divisors (6587220856144).

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

4127082867252 is a wasteful number, since it uses less digits than its factorization.

4127082867252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098410608 (or 3098410603 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 4127082867252 in words is "four trillion, one hundred twenty-seven billion, eighty-two million, eight hundred sixty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3098410561 6196821122 9295231683 12393642244 18590463366 27885695049 37180926732 55771390098 111542780196 114641190757 229282381514 343923572271 458564763028 687847144542 1031770716813 1375694289084 2063541433626 4127082867252