Search a number
-
+
82444452804 = 22337109053509
BaseRepresentation
bin100110011001000010…
…0101000001111000100
321212210200210010212000
41030302010220033010
52322321234442204
6101512514425300
75646023200110
oct1146204501704
9255720703760
1082444452804
1131a6782070a
1213b8a592230
137a0b6b5cac
143dc168a740
152227dc6039
hex13321283c4

82444452804 has 48 divisors (see below), whose sum is σ = 244279862400. Its totient is φ = 23555557728.

The previous prime is 82444452793. The next prime is 82444452809. The reversal of 82444452804 is 40825444428.

82444452804 is a `hidden beast` number, since 82 + 4 + 4 + 44 + 528 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82444452804.

It is not an unprimeable number, because it can be changed into a prime (82444452809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54525999 + ... + 54527510.

It is an arithmetic number, because the mean of its divisors is an integer number (5089163800).

Almost surely, 282444452804 is an apocalyptic number.

82444452804 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82444452804 is an abundant number, since it is smaller than the sum of its proper divisors (161835409596).

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

82444452804 is a wasteful number, since it uses less digits than its factorization.

82444452804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109053529 (or 109053521 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 45.

The spelling of 82444452804 in words is "eighty-two billion, four hundred forty-four million, four hundred fifty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 109053509 218107018 327160527 436214036 654321054 763374563 981481581 1308642108 1526749126 1962963162 2290123689 2944444743 3053498252 3925926324 4580247378 5888889486 6870371067 9160494756 11777778972 13740742134 20611113201 27481484268 41222226402 82444452804