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82331213292 = 22341521716699
BaseRepresentation
bin100110010101101010…
…0101001110111101100
321212111210200222110000
41030223110221313230
52322103242311132
6101453351344300
75643146523546
oct1145324516754
9255453628400
1082331213292
1131a09907139
1213b58682090
1379c10b8273
143db0610696
15221cea887c
hex132b529dec

82331213292 has 60 divisors (see below), whose sum is σ = 215257088200. Its totient is φ = 27440290944.

The previous prime is 82331213183. The next prime is 82331213323. The reversal of 82331213292 is 29231213328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4921959 + ... + 4938657.

Almost surely, 282331213292 is an apocalyptic number.

It is an amenable number.

82331213292 is an abundant number, since it is smaller than the sum of its proper divisors (132925874908).

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

82331213292 is a wasteful number, since it uses less digits than its factorization.

82331213292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31932 (or 31921 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 82331213292 its sum of digits (36), we get a palindrome (82331213328).

The spelling of 82331213292 in words is "eighty-two billion, three hundred thirty-one million, two hundred thirteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 15217 16699 30434 33398 45651 50097 60868 66796 91302 100194 136953 150291 182604 200388 273906 300582 410859 450873 547812 601164 821718 901746 1232577 1352619 1643436 1803492 2465154 2705238 4930308 5410476 254108683 508217366 762326049 1016434732 1524652098 2286978147 3049304196 4573956294 6860934441 9147912588 13721868882 20582803323 27443737764 41165606646 82331213292