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12303583580512 = 2572311321133787
BaseRepresentation
bin1011001100001010011010…
…1110101001000101100000
31121120012200220010212211201
42303002212232221011200
53103040214344034022
642100104355450544
72406622161612430
oct263024656510540
947505626125751
1012303583580512
113a13a141a5194
1214686252b6a54
136b32b8a9cb23
143076d4a382c0
1516509eeeb127
hexb30a6ba9160

12303583580512 has 96 divisors (see below), whose sum is σ = 29142310159872. Its totient is φ = 4999070275584.

The previous prime is 12303583580503. The next prime is 12303583580597. The reversal of 12303583580512 is 21508538530321.

It is a super-3 number, since 3×123035835805123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9984718 + ... + 11149069.

It is an arithmetic number, because the mean of its divisors is an integer number (303565730832).

Almost surely, 212303583580512 is an apocalyptic number.

It is an amenable number.

12303583580512 is an abundant number, since it is smaller than the sum of its proper divisors (16838726579360).

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

12303583580512 is a wasteful number, since it uses less digits than its factorization.

12303583580512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21133940 (or 21133932 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 12303583580512 in words is "twelve trillion, three hundred three billion, five hundred eighty-three million, five hundred eighty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 113 161 184 224 226 322 368 452 644 736 791 904 1288 1582 1808 2576 2599 3164 3616 5152 5198 6328 10396 12656 18193 20792 25312 36386 41584 72772 83168 145544 291088 582176 21133787 42267574 84535148 147936509 169070296 295873018 338140592 486077101 591746036 676281184 972154202 1183492072 1944308404 2366984144 2388117931 3402539707 3888616808 4733968288 4776235862 6805079414 7777233616 9552471724 13610158828 15554467232 16716825517 19104943448 27220317656 33433651034 38209886896 54440635312 54926712413 66867302068 76419773792 108881270624 109853424826 133734604136 219706849652 267469208272 384486986891 439413699304 534938416544 768973973782 878827398608 1537947947564 1757654797216 3075895895128 6151791790256 12303583580512