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12773586072 = 23313173765089
BaseRepresentation
bin10111110010101110…
…10111010010011000
31012222012202101221110
423321113113102120
5202130014223242
65511302140320
7631353455502
oct137127272230
935865671843
1012773586072
1154653a1305
122585a216a0
1312874c9a70
1489266cd72
154eb62b39c
hex2f95d7498

12773586072 has 128 divisors (see below), whose sum is σ = 37398110400. Its totient is φ = 3599106048.

The previous prime is 12773586043. The next prime is 12773586079. The reversal of 12773586072 is 27068537721.

It is a super-2 number, since 2×127735860722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12773586079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163704 + ... + 228792.

Almost surely, 212773586072 is an apocalyptic number.

12773586072 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 12773586072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699055200).

12773586072 is an abundant number, since it is smaller than the sum of its proper divisors (24624524328).

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

12773586072 is a wasteful number, since it uses less digits than its factorization.

12773586072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65165 (or 65161 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 12773586072 in words is "twelve billion, seven hundred seventy-three million, five hundred eighty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 68 74 78 102 104 111 136 148 156 204 221 222 296 312 408 442 444 481 629 663 884 888 962 1258 1326 1443 1768 1887 1924 2516 2652 2886 3774 3848 5032 5304 5772 7548 8177 11544 15096 16354 24531 32708 49062 65089 65416 98124 130178 195267 196248 260356 390534 520712 781068 846157 1106513 1562136 1692314 2213026 2408293 2538471 3319539 3384628 4426052 4816586 5076942 6639078 6769256 7224879 8852104 9633172 10153884 13278156 14384669 14449758 19266344 20307768 26556312 28769338 28899516 31307809 40940981 43154007 57538676 57799032 62615618 81881962 86308014 93923427 115077352 122822943 125231236 163763924 172616028 187846854 245645886 250462472 327527848 345232056 375693708 491291772 532232753 751387416 982583544 1064465506 1596698259 2128931012 3193396518 4257862024 6386793036 12773586072