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82361696472 = 233211263395407
BaseRepresentation
bin100110010110100100…
…0111100000011011000
321212120221001200111200
41030231020330003120
52322134043241342
6101500400554200
75643666604026
oct1145510740330
9255527050450
1082361696472
1131a25037650
1213b66922960
1379c74cc153
143db46a7716
1522209ca94c
hex132d23c0d8

82361696472 has 96 divisors (see below), whose sum is σ = 244267246080. Its totient is φ = 24863129280.

The previous prime is 82361696453. The next prime is 82361696479. The reversal of 82361696472 is 27469616328.

82361696472 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 169 + 6 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82361696479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10593 + ... + 405999.

It is an arithmetic number, because the mean of its divisors is an integer number (2544450480).

Almost surely, 282361696472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82361696472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122133623040).

82361696472 is an abundant number, since it is smaller than the sum of its proper divisors (161905549608).

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

82361696472 is a wasteful number, since it uses less digits than its factorization.

82361696472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395693 (or 395686 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

It can be divided in two parts, 8236169 and 6472, that added together give a square (8242641 = 28712).

The spelling of 82361696472 in words is "eighty-two billion, three hundred sixty-one million, six hundred ninety-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 263 264 396 526 789 792 1052 1578 2104 2367 2893 3156 4734 5786 6312 8679 9468 11572 17358 18936 23144 26037 34716 52074 69432 104148 208296 395407 790814 1186221 1581628 2372442 3163256 3558663 4349477 4744884 7117326 8698954 9489768 13048431 14234652 17397908 26096862 28469304 34795816 39145293 52193724 78290586 103992041 104387448 156581172 207984082 311976123 313162344 415968164 623952246 831936328 935928369 1143912451 1247904492 1871856738 2287824902 2495808984 3431737353 3743713476 4575649804 6863474706 7487426952 9151299608 10295212059 13726949412 20590424118 27453898824 41180848236 82361696472