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12738313363944 = 2337214503746873
BaseRepresentation
bin1011100101011101111010…
…1001001010000111101000
31200002202210221221001022210
42321113132221022013220
53132201031210121234
643031522251445120
72453212165034400
oct271273651120750
950082727831283
1012738313363944
114071319896943
12151892b4567a0
137152aa66157c
14320775487800
1517154589abe9
hexb95dea4a1e8

12738313363944 has 96 divisors (see below), whose sum is σ = 37047698896320. Its totient is φ = 3639262281984.

The previous prime is 12738313363933. The next prime is 12738313363999. The reversal of 12738313363944 is 44936331383721.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 16682092 + ... + 17428964.

It is an arithmetic number, because the mean of its divisors is an integer number (385913530170).

Almost surely, 212738313363944 is an apocalyptic number.

12738313363944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12738313363944 is an abundant number, since it is smaller than the sum of its proper divisors (24309385532376).

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

12738313363944 is a wasteful number, since it uses less digits than its factorization.

12738313363944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761399 (or 761388 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 57.

The spelling of 12738313363944 in words is "twelve trillion, seven hundred thirty-eight billion, three hundred thirteen million, three hundred sixty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 14503 29006 43509 58012 87018 101521 116024 174036 203042 304563 348072 406084 609126 710647 746873 812168 1218252 1421294 1493746 2131941 2240619 2436504 2842588 2987492 4263882 4481238 5228111 5685176 5974984 8527764 8962476 10456222 15684333 17055528 17924952 20912444 31368666 36596777 41824888 62737332 73193554 109790331 125474664 146387108 219580662 292774216 439161324 878322648 10831899119 21663798238 32495697357 43327596476 64991394714 75823293833 86655192952 129982789428 151646587666 227469881499 259965578856 303293175332 454939762998 530763056831 606586350664 909879525996 1061526113662 1592289170493 1819759051992 2123052227324 3184578340986 4246104454648 6369156681972 12738313363944