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82871212319 = 732910517927
BaseRepresentation
bin100110100101110000…
…0100101100100011111
321220220102210202211222
41031023200211210133
52324210012243234
6102023121403555
75662424453000
oct1151340454437
9256812722758
1082871212319
1132166703425
12140894995bb
137a78c3660c
1440222191a7
1522505c342e
hex134b82591f

82871212319 has 32 divisors (see below), whose sum is σ = 100083072000. Its totient is φ = 68509173600.

The previous prime is 82871212289. The next prime is 82871212343. The reversal of 82871212319 is 91321217828.

It is a de Polignac number, because none of the positive numbers 2k-82871212319 is a prime.

It is a super-2 number, since 2×828712123192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82871212319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82871212379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10450334 + ... + 10458260.

It is an arithmetic number, because the mean of its divisors is an integer number (3127596000).

Almost surely, 282871212319 is an apocalyptic number.

82871212319 is a deficient number, since it is larger than the sum of its proper divisors (17211859681).

82871212319 is a wasteful number, since it uses less digits than its factorization.

82871212319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9014 counting only the distinct ones).

The product of its digits is 96768, while the sum is 44.

The spelling of 82871212319 in words is "eighty-two billion, eight hundred seventy-one million, two hundred twelve thousand, three hundred nineteen".

Divisors: 1 7 29 49 203 343 1051 1421 7357 7927 9947 30479 51499 55489 213353 229883 360493 388423 1493471 1609181 2718961 8331277 10454297 11264267 58318939 78849869 241607033 408232573 1691249231 2857628011 11838744617 82871212319