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82813095432503 = 8311292739732257
BaseRepresentation
bin10010110101000101101101…
…001000101101000100110111
3101212012212002000012111211022
4102311011231020231010313
541323302204412320003
6452043451050331355
723305022463555062
oct2265055510550467
9355185060174738
1082813095432503
1124428922490a07
129355896129b5b
13372931a449487
141664264a978d9
1598925a70b738
hex4b516d22d137

82813095432503 has 16 divisors (see below), whose sum is σ = 83890740605280. Its totient is φ = 81737362538496.

The previous prime is 82813095432493. The next prime is 82813095432521. The reversal of 82813095432503 is 30523459031828.

It is a cyclic number.

It is not a de Polignac number, because 82813095432503 - 28 = 82813095432247 is a prime.

It is a super-2 number, since 2×828130954325032 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82813095432593) 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, 2567274551 + ... + 2567306807.

It is an arithmetic number, because the mean of its divisors is an integer number (5243171287830).

Almost surely, 282813095432503 is an apocalyptic number.

82813095432503 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

82813095432503 is a deficient number, since it is larger than the sum of its proper divisors (1077645172777).

82813095432503 is a wasteful number, since it uses less digits than its factorization.

82813095432503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60866.

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 82813095432503 in words is "eighty-two trillion, eight hundred thirteen billion, ninety-five million, four hundred thirty-two thousand, five hundred three".

Divisors: 1 83 1129 27397 32257 93707 2273951 2677331 30931213 36418153 883745029 2567290679 3022706699 73350837407 997748137741 82813095432503