Search a number
-
+
82799975328 = 2537177247897
BaseRepresentation
bin100110100011101000…
…0110101101110100000
321220201110202120001220
41031013100311232200
52324033243202303
6102012054455040
75660601114660
oct1150720655640
9256643676056
1082799975328
113212a477a84
1214069664480
137a67253a55
1440169941a0
152249201053
hex1347435ba0

82799975328 has 96 divisors (see below), whose sum is σ = 263011722624. Its totient is φ = 22265536512.

The previous prime is 82799975299. The next prime is 82799975353. The reversal of 82799975328 is 82357999728.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 3612525 + ... + 3635372.

It is an arithmetic number, because the mean of its divisors is an integer number (2739705444).

Almost surely, 282799975328 is an apocalyptic number.

It is an amenable number.

82799975328 is an abundant number, since it is smaller than the sum of its proper divisors (180211747296).

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

82799975328 is a wasteful number, since it uses less digits than its factorization.

82799975328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247934 (or 7247926 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 69.

The spelling of 82799975328 in words is "eighty-two billion, seven hundred ninety-nine million, nine hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 7247897 14495794 21743691 28991588 43487382 50735279 57983176 86974764 101470558 115966352 123214249 152205837 173949528 202941116 231932704 246428498 304411674 347899056 369642747 405882232 492856996 608823348 695798112 739285494 811764464 862499743 985713992 1217646696 1478570988 1623528928 1724999486 1971427984 2435293392 2587499229 2957141976 3449998972 3942855968 4870586784 5174998458 5914283952 6899997944 10349996916 11828567904 13799995888 20699993832 27599991776 41399987664 82799975328