Search a number
-
+
82710049023 = 3376112915557
BaseRepresentation
bin100110100000111100…
…1110011000011111111
321220111012112211101000
41031001321303003333
52323342233032043
6101555123221343
75655426550110
oct1150171630377
9256435484330
1082710049023
1132093737018
1214043517853
137a51729514
144008a66207
15224138b2d3
hex1341e730ff

82710049023 has 64 divisors (see below), whose sum is σ = 142469770240. Its totient is φ = 46443715200.

The previous prime is 82710048997. The next prime is 82710049067. The reversal of 82710049023 is 32094001728.

82710049023 is a `hidden beast` number, since 82 + 71 + 0 + 0 + 490 + 23 = 666.

It is not a de Polignac number, because 82710049023 - 26 = 82710048959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82710049223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14881161 + ... + 14886717.

It is an arithmetic number, because the mean of its divisors is an integer number (2226090160).

Almost surely, 282710049023 is an apocalyptic number.

82710049023 is a deficient number, since it is larger than the sum of its proper divisors (59759721217).

82710049023 is a wasteful number, since it uses less digits than its factorization.

82710049023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 82710049023 in words is "eighty-two billion, seven hundred ten million, forty-nine thousand, twenty-three".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 1281 1291 1647 3843 3873 5557 9037 11529 11619 16671 27111 34857 38899 50013 78751 81333 116697 150039 236253 243999 338977 350091 551257 708759 1016931 1050273 1653771 2126277 2372839 3050793 4961313 7118517 7174087 9152379 14883939 21355551 21522261 50218609 64066653 64566783 150655827 193700349 437619307 451967481 1312857921 1355902443 3063335149 3938573763 9190005447 11815721289 27570016341 82710049023