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12727550292 = 22319273167241
BaseRepresentation
bin10111101101001111…
…10000000101010100
31012212000010112201120
423312213300011110
5202031223102132
65502535323540
7630254251422
oct136647600524
935760115646
1012727550292
115441408a06
1225725205b0
13127aacbb62
1488a4c8112
154e758602c
hex2f69f0154

12727550292 has 144 divisors (see below), whose sum is σ = 32095147392. Its totient is φ = 3924080640.

The previous prime is 12727550291. The next prime is 12727550377. The reversal of 12727550292 is 29205572721.

12727550292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12727550291) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 52811292 + ... + 52811532.

It is an arithmetic number, because the mean of its divisors is an integer number (222882968).

Almost surely, 212727550292 is an apocalyptic number.

12727550292 is a gapful number since it is divisible by the number (12) 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 12727550292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047573696).

12727550292 is an abundant number, since it is smaller than the sum of its proper divisors (19367597100).

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

12727550292 is a wasteful number, since it uses less digits than its factorization.

12727550292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 12727550292 in words is "twelve billion, seven hundred twenty-seven million, five hundred fifty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 167 219 228 241 292 334 361 438 482 501 668 722 723 876 964 1002 1083 1387 1444 1446 2004 2166 2774 2892 3173 4161 4332 4579 5548 6346 8322 9158 9519 12191 12692 13737 16644 17593 18316 19038 24382 26353 27474 35186 36573 38076 40247 48764 52706 52779 54948 60287 70372 73146 79059 80494 87001 105412 105558 120574 120741 146292 158118 160988 174002 180861 211116 231629 241148 241482 261003 316236 334267 348004 361722 463258 482964 522006 668534 694887 723444 764693 926516 1002801 1044012 1337068 1389774 1529386 2005602 2294079 2779548 2938031 3058772 4011204 4400951 4588158 5876062 6351073 8801902 8814093 9176316 11752124 12702146 13202853 14529167 17603804 17628186 19053219 25404292 26405706 29058334 35256372 38106438 43587501 52811412 55822589 58116668 76212876 87175002 111645178 167467767 174350004 223290356 334935534 669871068 1060629191 2121258382 3181887573 4242516764 6363775146 12727550292