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132727141204 = 2273110713110909
BaseRepresentation
bin111101110011100100…
…1110111001101010100
3110200120222112101001121
41323213021313031110
54133311122004304
6140550215133324
712406050041230
oct1734711671524
9420528471047
10132727141204
1151320013739
1221882074244
13c692ba1c58
1465d17655c0
1536bc4aa554
hex1ee7277354

132727141204 has 96 divisors (see below), whose sum is σ = 278715064320. Its totient is φ = 54112406400.

The previous prime is 132727141139. The next prime is 132727141207. The reversal of 132727141204 is 402141727231.

It is a self number, because there is not a number n which added to its sum of digits gives 132727141204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132727141207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12161302 + ... + 12172210.

It is an arithmetic number, because the mean of its divisors is an integer number (2903281920).

Almost surely, 2132727141204 is an apocalyptic number.

132727141204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132727141204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139357532160).

132727141204 is an abundant number, since it is smaller than the sum of its proper divisors (145987923116).

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

132727141204 is a wasteful number, since it uses less digits than its factorization.

132727141204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11187 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

Adding to 132727141204 its reverse (402141727231), we get a palindrome (534868868435).

The spelling of 132727141204 in words is "one hundred thirty-two billion, seven hundred twenty-seven million, one hundred forty-one thousand, two hundred four".

Divisors: 1 2 4 7 14 28 31 62 107 124 131 214 217 262 428 434 524 749 868 917 1498 1834 2996 3317 3668 4061 6634 8122 10909 13268 14017 16244 21818 23219 28034 28427 43636 46438 56068 56854 76363 92876 98119 113708 152726 196238 305452 338179 392476 434527 676358 869054 1167263 1352716 1429079 1738108 2334526 2367253 2858158 3041689 4669052 4734506 5716316 6083378 8170841 9469012 10003553 12166756 16341682 20007106 32683364 36185153 40014212 44301449 72370306 88602898 144740612 152911453 177205796 253296071 305822906 310110143 506592142 611645812 620220286 1013184284 1070380171 1240440572 2140760342 4281520684 4740255043 9480510086 18961020172 33181785301 66363570602 132727141204