Search a number
-
+
82051963512 = 23319146738329
BaseRepresentation
bin100110001101010101…
…1011001101001111000
321211210100020121202120
41030122223121221320
52321020300313022
6101405534201240
75633216116341
oct1143253315170
9254710217676
1082051963512
11318862156a2
1213a9b053220
1379782a41cc
143d854bd0c8
1522036e7d5c
hex131aad9a78

82051963512 has 64 divisors (see below), whose sum is σ = 206650828800. Its totient is φ = 27148488960.

The previous prime is 82051963501. The next prime is 82051963517. The reversal of 82051963512 is 21536915028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82051963517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2121564 + ... + 2159892.

It is an arithmetic number, because the mean of its divisors is an integer number (3228919200).

Almost surely, 282051963512 is an apocalyptic number.

It is an amenable number.

82051963512 is an abundant number, since it is smaller than the sum of its proper divisors (124598865288).

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

82051963512 is a wasteful number, since it uses less digits than its factorization.

82051963512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38996 (or 38992 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 82051963512 in words is "eighty-two billion, fifty-one million, nine hundred sixty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 191 382 467 573 764 934 1146 1401 1528 1868 2292 2802 3736 4584 5604 11208 38329 76658 89197 114987 153316 178394 229974 267591 306632 356788 459948 535182 713576 919896 1070364 2140728 7320839 14641678 17899643 21962517 29283356 35799286 43925034 53698929 58566712 71598572 87850068 107397858 143197144 175700136 214795716 429591432 3418831813 6837663626 10256495439 13675327252 20512990878 27350654504 41025981756 82051963512