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82345432643277 = 344879611610721
BaseRepresentation
bin10010101110010010001010…
…010000101111011011001101
3101210120010221210011022101220
4102232102022100233123031
541243121421224041102
6451044545225553553
723226155404466016
oct2256221220573315
9353503853138356
1082345432643277
1124268557a935a1
12929b11a9458b9
1336c41aa966a5b
14164977c47600d
1597bed89c41bc
hex4ae48a42f6cd

82345432643277 has 8 divisors (see below), whose sum is σ = 109796356813440. Its totient is φ = 54895731784320.

The previous prime is 82345432643251. The next prime is 82345432643321. The reversal of 82345432643277 is 77234623454328.

It is a happy number.

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

It is not a de Polignac number, because 82345432643277 - 28 = 82345432643021 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 82345432643277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82345432643777) 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 7 ways as a sum of consecutive naturals, for example, 305670724 + ... + 305939997.

It is an arithmetic number, because the mean of its divisors is an integer number (13724544601680).

Almost surely, 282345432643277 is an apocalyptic number.

It is an amenable number.

82345432643277 is a deficient number, since it is larger than the sum of its proper divisors (27450924170163).

82345432643277 is a wasteful number, since it uses less digits than its factorization.

82345432643277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611655603.

The product of its digits is 162570240, while the sum is 60.

The spelling of 82345432643277 in words is "eighty-two trillion, three hundred forty-five billion, four hundred thirty-two million, six hundred forty-three thousand, two hundred seventy-seven".

Divisors: 1 3 44879 134637 611610721 1834832163 27448477547759 82345432643277