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31658729041 = 1779292
BaseRepresentation
bin11101011111000000…
…011101111001010001
310000201100111001212001
4131133000131321101
51004314113312131
622313244234001
72200350520402
oct353700357121
9100640431761
1031658729041
1112476588785
12617653b901
132ca6c21484
1417648699a9
15c54579261
hex75f01de51

31658729041 has 3 divisors (see below), whose sum is σ = 31658906971. Its totient is φ = 31658551112.

The previous prime is 31658729033. The next prime is 31658729057. The reversal of 31658729041 is 14092785613.

The square root of 31658729041 is 177929.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 14092785613 = 17828987389.

It can be written as a sum of positive squares in only one way, i.e., 17988442641 + 13670286400 = 134121^2 + 116920^2 .

It is not a de Polignac number, because 31658729041 - 23 = 31658729033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31658728982 and 31658729000.

It is not an unprimeable number, because it can be changed into a prime (31658729021) 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 2 ways as a sum of consecutive naturals, for example, 88965 + ... + 266893.

It is a 1-persistent number, because it is pandigital, but 2⋅31658729041 = 63317458082 is not.

Almost surely, 231658729041 is an apocalyptic number.

31658729041 is the 177929-th square number.

31658729041 is the 88965-th centered octagonal number.

It is an amenable number.

31658729041 is a deficient number, since it is larger than the sum of its proper divisors (177930).

31658729041 is an frugal number, since it uses more digits than its factorization.

31658729041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355858 (or 177929 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 31658729041 in words is "thirty-one billion, six hundred fifty-eight million, seven hundred twenty-nine thousand, forty-one".

Divisors: 1 177929 31658729041