Search a number
-
+
82738391292 = 2232127124914489
BaseRepresentation
bin100110100001110010…
…1111010100011111100
321220120011212202122200
41031003211322203330
52323422012010132
6102002014511500
75656222502454
oct1150345724374
9256504782580
1082738391292
11320a8734a87
1214050b05590
137a57570aab
14400c722d64
152243ad8d7c
hex134397a8fc

82738391292 has 72 divisors (see below), whose sum is σ = 210974400000. Its totient is φ = 27338508288.

The previous prime is 82738391291. The next prime is 82738391299. The reversal of 82738391292 is 29219383728.

82738391292 is a `hidden beast` number, since 8 + 273 + 83 + 9 + 1 + 292 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82738391291) 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, 5703184 + ... + 5717672.

It is an arithmetic number, because the mean of its divisors is an integer number (2930200000).

Almost surely, 282738391292 is an apocalyptic number.

It is an amenable number.

82738391292 is an abundant number, since it is smaller than the sum of its proper divisors (128236008708).

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

82738391292 is a wasteful number, since it uses less digits than its factorization.

82738391292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15875 (or 15870 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 82738391292 in words is "eighty-two billion, seven hundred thirty-eight million, three hundred ninety-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1249 1524 2286 2498 3747 4572 4996 7494 11241 14489 14988 22482 28978 43467 44964 57956 86934 130401 158623 173868 260802 317246 475869 521604 634492 951738 1427607 1840103 1903476 2855214 3680206 5520309 5710428 7360412 11040618 16560927 18096761 22081236 33121854 36193522 54290283 66243708 72387044 108580566 162870849 217161132 325741698 651483396 2298288647 4596577294 6894865941 9193154588 13789731882 20684597823 27579463764 41369195646 82738391292