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31371472673 = 738916093001
BaseRepresentation
bin11101001101111000…
…101010111100100001
32222222022221221012022
4131031320222330201
51003222044111143
622224543311225
72160262055312
oct351570527441
988868857168
1031371472673
1112339418822
1260b62ab515
132c5c565ca8
141738652609
15c39236268
hex74de2af21

31371472673 has 16 divisors (see below), whose sum is σ = 32189245200. Its totient is φ = 30564864000.

The previous prime is 31371472669. The next prime is 31371472723. The reversal of 31371472673 is 37627417313.

It can be written as a sum of positive squares in 8 ways, for example, as 1298016784 + 30073455889 = 36028^2 + 173417^2 .

It is a cyclic number.

It is not a de Polignac number, because 31371472673 - 22 = 31371472669 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31371472073) 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 15 ways as a sum of consecutive naturals, for example, 10452173 + ... + 10455173.

It is an arithmetic number, because the mean of its divisors is an integer number (2011827825).

Almost surely, 231371472673 is an apocalyptic number.

It is an amenable number.

31371472673 is a deficient number, since it is larger than the sum of its proper divisors (817772527).

31371472673 is a wasteful number, since it uses less digits than its factorization.

31371472673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772.

The product of its digits is 444528, while the sum is 44.

Adding to 31371472673 its reverse (37627417313), we get a palindrome (68998889986).

The spelling of 31371472673 in words is "thirty-one billion, three hundred seventy-one million, four hundred seventy-two thousand, six hundred seventy-three".

Divisors: 1 73 89 1609 3001 6497 117457 143201 219073 267089 4828609 10453673 19497497 352488457 429746201 31371472673