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82348336108337 = 1327194090356957
BaseRepresentation
bin10010101110010100110111…
…010100100101001100110001
3101210120102110010112121200212
4102232110313110211030301
541243143343020431322
6451050145305153505
723226320351520515
oct2256246724451461
9353512403477625
1082348336108337
1124269807a098a2
12929b7ab18b895
1336c455134ba10
141649975d10145
1597c10884a0e2
hex4ae537525331

82348336108337 has 16 divisors (see below), whose sum is σ = 88719166018560. Its totient is φ = 75982700400192.

The previous prime is 82348336108321. The next prime is 82348336108373. The reversal of 82348336108337 is 73380163384328.

It is a cyclic number.

It is not a de Polignac number, because 82348336108337 - 24 = 82348336108321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82348336108837) 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 15 ways as a sum of consecutive naturals, for example, 1445769863 + ... + 1445826819.

It is an arithmetic number, because the mean of its divisors is an integer number (5544947876160).

Almost surely, 282348336108337 is an apocalyptic number.

It is an amenable number.

82348336108337 is a deficient number, since it is larger than the sum of its proper divisors (6370829910223).

82348336108337 is a wasteful number, since it uses less digits than its factorization.

82348336108337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100592.

The product of its (nonzero) digits is 41803776, while the sum is 59.

The spelling of 82348336108337 in words is "eighty-two trillion, three hundred forty-eight billion, three hundred thirty-six million, one hundred eight thousand, three hundred thirty-seven".

Divisors: 1 13 2719 35347 40903 56957 531739 740441 111215257 154866083 1445798341 2013259079 2329712171 30286258223 6334487392949 82348336108337