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12798000078 = 23172337473137
BaseRepresentation
bin10111110101101000…
…11111101111001110
31020000220200202122220
423322310133233032
5202202242000303
65513533320210
7632101130403
oct137264375716
936026622586
1012798000078
115478156976
122592036066
13128c597316
148959c62aa
154ed850053
hex2fad1fbce

12798000078 has 128 divisors (see below), whose sum is σ = 29671723008. Its totient is φ = 3656024064.

The previous prime is 12798000013. The next prime is 12798000091. The reversal of 12798000078 is 87000089721.

12798000078 is a nontrivial binomial coefficient, being equal to C(159988, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4078126 + ... + 4081262.

It is an arithmetic number, because the mean of its divisors is an integer number (231810336).

Almost surely, 212798000078 is an apocalyptic number.

12798000078 is the 159987-th triangular number and also the 79994-th hexagonal number.

12798000078 is an abundant number, since it is smaller than the sum of its proper divisors (16873722930).

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

12798000078 is a wasteful number, since it uses less digits than its factorization.

12798000078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266.

The product of its (nonzero) digits is 56448, while the sum is 42.

Adding to 12798000078 its reverse (87000089721), we get a palindrome (99798089799).

The spelling of 12798000078 in words is "twelve billion, seven hundred ninety-eight million, seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 17 23 34 37 46 47 51 69 74 94 102 111 138 141 222 282 391 629 782 799 851 1081 1173 1258 1598 1702 1739 1887 2162 2346 2397 2553 3137 3243 3478 3774 4794 5106 5217 6274 6486 9411 10434 14467 18377 18822 28934 29563 36754 39997 43401 53329 55131 59126 72151 79994 86802 88689 106658 110262 116069 119991 144302 147439 159987 177378 216453 232138 239982 294878 319974 348207 432906 442317 679949 696414 884634 1226567 1359898 1973173 2039847 2453134 2506463 2669587 3391097 3679701 3946346 4079694 5012926 5339174 5455243 5919519 6782194 7359402 7519389 8008761 10173291 10910486 11839038 15038778 16017522 16365729 20346582 32731458 45382979 57648649 90765958 92739131 115297298 125470589 136148937 172945947 185478262 250941178 272297874 278217393 345891894 376411767 556434786 752823534 2133000013 4266000026 6399000039 12798000078