Search a number
-
+
82382130528018 = 2312725723534637
BaseRepresentation
bin10010101110110100010101…
…101000000011111100010010
3101210200122200022201000100020
4102232310111220003330102
541244222100403344033
6451113454525004310
723231624664404436
oct2256642550037422
9353618608630306
1082382130528018
1124282079a92562
1292a62609b3696
1336c77a8876259
14164b4602769c6
1597ce3563b6b3
hex4aed15a03f12

82382130528018 has 96 divisors (see below), whose sum is σ = 167218606946304. Its totient is φ = 27055758901248.

The previous prime is 82382130528011. The next prime is 82382130528037. The reversal of 82382130528018 is 81082503128328.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82382130528011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17766253996 + ... + 17766258632.

It is an arithmetic number, because the mean of its divisors is an integer number (1741860489024).

Almost surely, 282382130528018 is an apocalyptic number.

82382130528018 is an abundant number, since it is smaller than the sum of its proper divisors (84836476418286).

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

82382130528018 is a wasteful number, since it uses less digits than its factorization.

82382130528018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 82382130528018 in words is "eighty-two trillion, three hundred eighty-two billion, one hundred thirty million, five hundred twenty-eight thousand, eighteen".

Divisors: 1 2 3 6 127 254 257 353 381 514 706 762 771 1059 1542 2118 4637 9274 13911 27822 32639 44831 65278 66049 89662 90721 97917 132098 134493 181442 195834 198147 268986 272163 396294 544326 588899 1177798 1191709 1636861 1766697 2383418 3273722 3533394 3575127 4910583 7150254 8388223 9821166 11521567 16776446 23043134 23315297 25164669 34564701 46630594 50329338 69129402 69945891 139891782 151347043 207881347 302694086 306269213 415762694 420673277 454041129 612538426 623644041 841346554 908082258 918807639 1247288082 1262019831 1837615278 2524039662 2961042719 5922085438 8883128157 17766256314 38896190051 53425506179 77792380102 106851012358 108113032189 116688570153 160276518537 216226064378 233377140306 320553037074 324339096567 648678193134 13730355088003 27460710176006 41191065264009 82382130528018