Search a number
-
+
132776077302 = 232117313170123
BaseRepresentation
bin111101110101000010…
…0100010011111110110
3110200201101121120202200
41323222010202133312
54133411133433202
6140555124045330
712410213015121
oct1735204423766
9420641546680
10132776077302
11513456a80a0
1221896533846
13c6a007701b
1465d80633b8
1536c1924e1c
hex1eea1227f6

132776077302 has 96 divisors (see below), whose sum is σ = 320566536576. Its totient is φ = 39380515200.

The previous prime is 132776077289. The next prime is 132776077303. The reversal of 132776077302 is 203770677231.

132776077302 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 7 + 607 + 7 + 30 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132776077303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858413 + ... + 1928535.

It is an arithmetic number, because the mean of its divisors is an integer number (3339234756).

Almost surely, 2132776077302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132776077302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160283268288).

132776077302 is an abundant number, since it is smaller than the sum of its proper divisors (187790459274).

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

132776077302 is a wasteful number, since it uses less digits than its factorization.

132776077302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70346 (or 70343 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The spelling of 132776077302 in words is "one hundred thirty-two billion, seven hundred seventy-six million, seventy-seven thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 131 146 198 219 262 393 438 657 786 803 1179 1314 1441 1606 2358 2409 2882 4323 4818 7227 8646 9563 12969 14454 19126 25938 28689 57378 70123 86067 105193 140246 172134 210369 210386 315579 420738 631107 631158 771353 946737 1262214 1542706 1893474 2314059 4628118 5118979 6942177 9186113 10237958 13884354 15356937 18372226 27558339 30713874 46070811 55116678 56308769 82675017 92141622 101047243 112617538 165350034 168926307 202094486 303141729 337852614 506778921 606283458 670586249 909425187 1013557842 1341172498 1818850374 2011758747 4023517494 6035276241 7376448739 12070552482 14752897478 22129346217 44258692434 66388038651 132776077302