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3445973821881 = 321251730589277
BaseRepresentation
bin110010001001010100000…
…010111010100110111001
3110012102122211200202222200
4302021110002322212321
5422424323244300011
611155020350140413
7503651305124163
oct62112402724671
913172584622880
103445973821881
11110947a427998
12477a297b1709
131bcc52a52036
14bcb00bbd933
155e9872da856
hex322540ba9b9

3445973821881 has 12 divisors (see below), whose sum is σ = 4977915566052. Its totient is φ = 2297132270496.

The previous prime is 3445973821867. The next prime is 3445973821909. The reversal of 3445973821881 is 1881283795443.

3445973821881 is a `hidden beast` number, since 3 + 4 + 4 + 597 + 38 + 2 + 1 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1434353546025 + 2011620275856 = 1197645^2 + 1418316^2 .

It is not a de Polignac number, because 3445973821881 - 218 = 3445973559737 is a prime.

It is a super-2 number, since 2×34459738218812 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3445973821481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15181986 + ... + 15407291.

It is an arithmetic number, because the mean of its divisors is an integer number (414826297171).

Almost surely, 23445973821881 is an apocalyptic number.

It is an amenable number.

3445973821881 is a deficient number, since it is larger than the sum of its proper divisors (1531941744171).

3445973821881 is a wasteful number, since it uses less digits than its factorization.

3445973821881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30601800 (or 30601797 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 3445973821881 in words is "three trillion, four hundred forty-five billion, nine hundred seventy-three million, eight hundred twenty-one thousand, eight hundred eighty-one".

Divisors: 1 3 9 12517 37551 112653 30589277 91767831 275303493 382885980209 1148657940627 3445973821881