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12773342340 = 22325116451183
BaseRepresentation
bin10111110010101100…
…11011110010000100
31012222012022000121100
423321112123302010
5202124433423330
65511253020100
7631351422063
oct137126336204
935865260540
1012773342340
115465245180
122585924630
131287442b45
148926081da
154eb5ce060
hex2f959bc84

12773342340 has 72 divisors (see below), whose sum is σ = 42268157568. Its totient is φ = 3096567360.

The previous prime is 12773342227. The next prime is 12773342347. The reversal of 12773342340 is 4324337721.

12773342340 is a `hidden beast` number, since 1 + 277 + 3 + 3 + 42 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12773342295 and 12773342304.

It is not an unprimeable number, because it can be changed into a prime (12773342347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3223612 + ... + 3227571.

It is an arithmetic number, because the mean of its divisors is an integer number (587057744).

Almost surely, 212773342340 is an apocalyptic number.

12773342340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12773342340 is an abundant number, since it is smaller than the sum of its proper divisors (29494815228).

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

12773342340 is a wasteful number, since it uses less digits than its factorization.

12773342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451209 (or 6451204 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 12773342340 in words is "twelve billion, seven hundred seventy-three million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6451183 12902366 19353549 25804732 32255915 38707098 58060647 64511830 70963013 77414196 96767745 116121294 129023660 141926026 193535490 212889039 232242588 283852052 290303235 354815065 387070980 425778078 580606470 638667117 709630130 851556156 1064445195 1161212940 1277334234 1419260260 2128890390 2554668468 3193335585 4257780780 6386671170 12773342340