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4232857726881 = 34721741132
BaseRepresentation
bin111101100110001001111…
…110110010111110100001
3112222122202010120212010000
4331212021332302332201
51023322343034230011
613000314211130213
7614546106013200
oct75461176627641
915878663525100
104232857726881
111392165922353
125844335a3969
1324920656c344
14108c2b1d9237
157518dd97356
hex3d989fb2fa1

4232857726881 has 225 divisors, whose sum is σ = 7884997339791. Its totient is φ = 2256348939264.

The previous prime is 4232857726861. The next prime is 4232857726969. The reversal of 4232857726881 is 1886277582324.

The square root of 4232857726881 is 2057391.

It is a perfect power (a square), and thus also a powerful number.

4232857726881 is a `hidden beast` number, since 4 + 2 + 32 + 8 + 577 + 26 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2375590277025 + 1857267449856 = 1541295^2 + 1362816^2 .

It is not a de Polignac number, because 4232857726881 - 25 = 4232857726849 is a prime.

It is a super-2 number, since 2×42328577268812 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (72253440) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (4232857726861) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 37458917881 + ... + 37458917993.

Almost surely, 24232857726881 is an apocalyptic number.

4232857726881 is the 2057391-st square number.

4232857726881 is the 1028696-th centered octagonal number.

It is an amenable number.

4232857726881 is a deficient number, since it is larger than the sum of its proper divisors (3652139612910).

4232857726881 is an frugal number, since it uses more digits than its factorization.

4232857726881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 140 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 4232857726881 in words is "four trillion, two hundred thirty-two billion, eight hundred fifty-seven million, seven hundred twenty-six thousand, eight hundred eighty-one".