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3823611051681 = 328910494550569
BaseRepresentation
bin110111101001000000111…
…110100111111010100001
3111112112102000202201100100
4313221000332213322201
51000121223412123211
612044313114413013
7543150434454351
oct67510076477241
914475360681310
103823611051681
111244647837023
1251905b731169
13219746333775
14d30c6d6cb61
15696da7e8156
hex37a40fa7ea1

3823611051681 has 24 divisors (see below), whose sum is σ = 5590375245000. Its totient is φ = 2518029499392.

The previous prime is 3823611051671. The next prime is 3823611051713. The reversal of 3823611051681 is 1861501163283.

3823611051681 is a `hidden beast` number, since 3 + 8 + 23 + 611 + 0 + 5 + 1 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1760822841600 + 2062788210081 = 1326960^2 + 1436241^2 .

It is not a de Polignac number, because 3823611051681 - 25 = 3823611051649 is a prime.

It is a super-2 number, since 2×38236110516812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3823611051661) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1435036 + ... + 3115533.

It is an arithmetic number, because the mean of its divisors is an integer number (232932301875).

Almost surely, 23823611051681 is an apocalyptic number.

It is an amenable number.

3823611051681 is a deficient number, since it is larger than the sum of its proper divisors (1766764193319).

3823611051681 is a wasteful number, since it uses less digits than its factorization.

3823611051681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551713 (or 4551710 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 3823611051681 in words is "three trillion, eight hundred twenty-three billion, six hundred eleven million, fifty-one thousand, six hundred eighty-one".

Divisors: 1 3 9 89 267 801 1049 3147 9441 93361 280083 840249 4550569 13651707 40955121 405000641 1215001923 3645005769 4773546881 14320640643 42961921929 424845672409 1274537017227 3823611051681