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83122500813517 = 1137206419894491
BaseRepresentation
bin10010111001100101110111…
…001000100100001011001101
3101220022102201000000101210101
4102321211313020210023031
541343334340202013032
6452441541045411101
723336255026114354
oct2271456710441315
9356272630011711
1083122500813517
112453806678a170
1293a5845409a91
13374c558a01c99
141675216db699b
1599231896ede7
hex4b99772242cd

83122500813517 has 16 divisors (see below), whose sum is σ = 93134399361984. Its totient is φ = 73520018496000.

The previous prime is 83122500813493. The next prime is 83122500813551. The reversal of 83122500813517 is 71531800522138.

It is a cyclic number.

It is not a de Polignac number, because 83122500813517 - 27 = 83122500813389 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 (83122500813617) 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, 3453642 + ... + 13348132.

It is an arithmetic number, because the mean of its divisors is an integer number (5820899960124).

Almost surely, 283122500813517 is an apocalyptic number.

It is an amenable number.

83122500813517 is a deficient number, since it is larger than the sum of its proper divisors (10011898548467).

83122500813517 is a wasteful number, since it uses less digits than its factorization.

83122500813517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915180.

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 83122500813517 in words is "eighty-three trillion, one hundred twenty-two billion, five hundred million, eight hundred thirteen thousand, five hundred seventeen".

Divisors: 1 11 37 407 20641 227051 763717 8400887 9894491 108839401 366096167 4027057837 204232188731 2246554076041 7556590983047 83122500813517