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82323811422 = 23229317499997
BaseRepresentation
bin100110010101011100…
…0011010110001011110
321212111021202220222200
41030222320122301132
52322044343431142
6101452524552330
75643026565006
oct1145270326136
9255437686880
1082323811422
1131a05710a96
1213b560b26a6
1379bc6c6168
143dad645006
15221c4e564c
hex132ae1ac5e

82323811422 has 96 divisors (see below), whose sum is σ = 185657940000. Its totient is φ = 26332072704.

The previous prime is 82323811369. The next prime is 82323811429. The reversal of 82323811422 is 22411832328.

82323811422 is a `hidden beast` number, since 8 + 232 + 381 + 1 + 42 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82323811429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82571028 + ... + 82572024.

It is an arithmetic number, because the mean of its divisors is an integer number (1933936875).

Almost surely, 282323811422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82323811422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92828970000).

82323811422 is an abundant number, since it is smaller than the sum of its proper divisors (103334128578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82323811422 is a wasteful number, since it uses less digits than its factorization.

82323811422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1847 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 82323811422 in words is "eighty-two billion, three hundred twenty-three million, eight hundred eleven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 317 499 522 634 951 997 998 1497 1902 1994 2853 2991 2994 4491 5706 5982 8973 8982 9193 14471 17946 18386 27579 28913 28942 43413 55158 57826 82737 86739 86826 130239 158183 165474 173478 260217 260478 316049 316366 474549 497503 520434 632098 948147 949098 995006 1423647 1492509 1896294 2844441 2847294 2985018 4477527 4587307 5688882 8955054 9165421 9174614 13761921 14427587 18330842 27496263 27523842 28855174 41285763 43282761 54992526 82488789 82571526 86565522 129848283 157708451 164977578 259696566 315416902 473125353 946250706 1419376059 2838752118 4573545079 9147090158 13720635237 27441270474 41161905711 82323811422