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82347580824 = 23383273115137
BaseRepresentation
bin100110010110001001…
…1000101110110011000
321212112221111112110220
41030230103011312120
52322121440041244
6101455134240040
75643435613365
oct1145423056630
9255487445426
1082347580824
1131a18076323
1213b62056020
1379c45c91b2
143db287146c
15221e63d319
hex132c4c5d98

82347580824 has 64 divisors (see below), whose sum is σ = 208439360640. Its totient is φ = 27106759680.

The previous prime is 82347580807. The next prime is 82347580859. The reversal of 82347580824 is 42808574328.

It is a super-2 number, since 2×823475808242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5432584 + ... + 5447720.

It is an arithmetic number, because the mean of its divisors is an integer number (3256865010).

Almost surely, 282347580824 is an apocalyptic number.

It is an amenable number.

82347580824 is an abundant number, since it is smaller than the sum of its proper divisors (126091779816).

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

82347580824 is a wasteful number, since it uses less digits than its factorization.

82347580824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17960 (or 17956 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 82347580824 in words is "eighty-two billion, three hundred forty-seven million, five hundred eighty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 2731 5462 8193 10924 15137 16386 21848 30274 32772 45411 60548 65544 90822 121096 181644 226673 363288 453346 680019 906692 1256371 1360038 1813384 2512742 2720076 3769113 5025484 5440152 7538226 10050968 15076452 30152904 41339147 82678294 124017441 165356588 248034882 330713176 496069764 992139528 3431149201 6862298402 10293447603 13724596804 20586895206 27449193608 41173790412 82347580824