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12775198720 = 21251932831
BaseRepresentation
bin10111110010111011…
…00001000000000000
31012222022210100002011
423321131201000000
5202130422324340
65511400502304
7631403253214
oct137135410000
935868710064
1012775198720
1154662a2979
12258647a994
131287942aab
1489296c944
154eb8490ea
hex2f9761000

12775198720 has 104 divisors (see below), whose sum is σ = 32271229440. Its totient is φ = 4840980480.

The previous prime is 12775198703. The next prime is 12775198757. The reversal of 12775198720 is 2789157721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372705 + ... + 405535.

Almost surely, 212775198720 is an apocalyptic number.

12775198720 is a gapful number since it is divisible by the number (10) 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 12775198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135614720).

12775198720 is an abundant number, since it is smaller than the sum of its proper divisors (19496030720).

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

12775198720 is an equidigital number, since it uses as much as digits as its factorization.

12775198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32879 (or 32857 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 49.

The spelling of 12775198720 in words is "twelve billion, seven hundred seventy-five million, one hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1280 1520 2048 2432 2560 3040 4096 4864 5120 6080 9728 10240 12160 19456 20480 24320 32831 38912 48640 65662 77824 97280 131324 164155 194560 262648 328310 389120 525296 623789 656620 1050592 1247578 1313240 2101184 2495156 2626480 3118945 4202368 4990312 5252960 6237890 8404736 9980624 10505920 12475780 16809472 19961248 21011840 24951560 33618944 39922496 42023680 49903120 67237888 79844992 84047360 99806240 134475776 159689984 168094720 199612480 319379968 336189440 399224960 638759936 672378880 798449920 1277519872 1596899840 2555039744 3193799680 6387599360 12775198720