Search a number
-
+
82739992284 = 223219711703731
BaseRepresentation
bin100110100001110110…
…0000001011011011100
321220120021220002210200
41031003230001123130
52323422414223114
6102002113103500
75656242221205
oct1150354013334
9256507802720
1082739992284
11320a9628914
1214051557b90
137a579b1721
14400ca1c5ac
152243d03409
hex1343b016dc

82739992284 has 72 divisors (see below), whose sum is σ = 223257041280. Its totient is φ = 25760397600.

The previous prime is 82739992229. The next prime is 82739992297. The reversal of 82739992284 is 48229993728.

82739992284 is a `hidden beast` number, since 82 + 7 + 399 + 92 + 2 + 84 = 666.

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 23 ways as a sum of consecutive naturals, for example, 803302 + ... + 900429.

It is an arithmetic number, because the mean of its divisors is an integer number (3100792240).

Almost surely, 282739992284 is an apocalyptic number.

It is an amenable number.

82739992284 is an abundant number, since it is smaller than the sum of its proper divisors (140517048996).

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

82739992284 is a wasteful number, since it uses less digits than its factorization.

82739992284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703831 (or 1703826 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 82739992284 in words is "eighty-two billion, seven hundred thirty-nine million, nine hundred ninety-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 4047 5396 8094 12141 16188 24282 48564 1703731 3407462 5111193 6814924 10222386 15333579 20444772 30667158 32370889 61334316 64741778 97112667 120964901 129483556 194225334 241929802 291338001 362894703 388450668 483859604 582676002 725789406 1088684109 1165352004 1451578812 2177368218 2298333119 4354736436 4596666238 6894999357 9193332476 13789998714 20684998071 27579997428 41369996142 82739992284