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12104957512656 = 2433157178476019
BaseRepresentation
bin1011000000100110011110…
…1100010100101111010000
31120212020000022011011221000
42300021213230110233100
53041311423110401111
641424535105502000
72356361063110461
oct260114754245720
946766008134830
1012104957512656
113947757a385a8
121436031941900
1369a653303168
142dbc51200d68
1515ed274bcc56
hexb0267b14bd0

12104957512656 has 80 divisors (see below), whose sum is σ = 34967021838400. Its totient is φ = 4009285268352.

The previous prime is 12104957512633. The next prime is 12104957512699. The reversal of 12104957512656 is 65621575940121.

12104957512656 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 4 + 9 + 575 + 1 + 2 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89170186 + ... + 89305833.

It is an arithmetic number, because the mean of its divisors is an integer number (437087772980).

Almost surely, 212104957512656 is an apocalyptic number.

12104957512656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12104957512656 is an abundant number, since it is smaller than the sum of its proper divisors (22862064325744).

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

12104957512656 is a wasteful number, since it uses less digits than its factorization.

12104957512656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178476193 (or 178476181 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 12104957512656 in words is "twelve trillion, one hundred four billion, nine hundred fifty-seven million, five hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1884 2512 2826 3768 4239 5652 7536 8478 11304 16956 22608 33912 67824 178476019 356952038 535428057 713904076 1070856114 1427808152 1606284171 2141712228 2855616304 3212568342 4283424456 4818852513 6425136684 8566848912 9637705026 12850273368 19275410052 25700546736 28020734983 38550820104 56041469966 77101640208 84062204949 112082939932 168124409898 224165879864 252186614847 336248819796 448331759728 504373229694 672497639592 756559844541 1008746459388 1344995279184 1513119689082 2017492918776 3026239378164 4034985837552 6052478756328 12104957512656