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82351815142741 = 1136466111270737
BaseRepresentation
bin10010101110011000000110…
…101100000010110101010101
3101210120202102120221212200221
4102232120012230002311111
541243223004134031431
6451051522425034341
723226502515030124
oct2256300654026525
9353522376855627
1082351815142741
1124270232816941
1292a04003259b1
1336c4987057561
141649bc5db1abb
1597c25deb5111
hex4ae606b02d55

82351815142741 has 8 divisors (see below), whose sum is σ = 83081884503384. Its totient is φ = 81621768453120.

The previous prime is 82351815142733. The next prime is 82351815142763. The reversal of 82351815142741 is 14724151815328.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21973087502116 + 60378727640625 = 4687546^2 + 7770375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82351815142741 - 23 = 82351815142733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82351815145741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1671325 + ... + 12942061.

It is an arithmetic number, because the mean of its divisors is an integer number (10385235562923).

Almost surely, 282351815142741 is an apocalyptic number.

It is an amenable number.

82351815142741 is a deficient number, since it is larger than the sum of its proper divisors (730069360643).

82351815142741 is a wasteful number, since it uses less digits than its factorization.

82351815142741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335511.

The product of its digits is 2150400, while the sum is 52.

The spelling of 82351815142741 in words is "eighty-two trillion, three hundred fifty-one billion, eight hundred fifteen million, one hundred forty-two thousand, seven hundred forty-one".

Divisors: 1 113 64661 7306693 11270737 1273593281 728777125157 82351815142741