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12409897697442 = 2337238271726009
BaseRepresentation
bin1011010010010110011110…
…0010110100000010100010
31121221101010002220121012000
42310211213202310002202
53111310432302304232
642221010040144430
72420404555653210
oct264454742640242
947841102817160
1012409897697442
113a5500a7a7843
121485155768116
136c032c77981b
1430c8dc4b3cb0
15167c2371a27c
hexb49678b40a2

12409897697442 has 128 divisors (see below), whose sum is σ = 32927299891200. Its totient is φ = 3387421876608.

The previous prime is 12409897697411. The next prime is 12409897697447. The reversal of 12409897697442 is 24479679890421.

12409897697442 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 9 + 8 + 97 + 6 + 97 + 442 = 666.

It is not an unprimeable number, because it can be changed into a prime (12409897697447) 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 63 ways as a sum of consecutive naturals, for example, 6326934 + ... + 8052942.

It is an arithmetic number, because the mean of its divisors is an integer number (257244530400).

Almost surely, 212409897697442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12409897697442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463649945600).

12409897697442 is an abundant number, since it is smaller than the sum of its proper divisors (20517402193758).

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

12409897697442 is a wasteful number, since it uses less digits than its factorization.

12409897697442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726877 (or 1726871 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 12409897697442 in words is "twelve trillion, four hundred nine billion, eight hundred ninety-seven million, six hundred ninety-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 827 966 1242 1449 1654 2481 2898 4347 4962 5789 7443 8694 11578 14886 17367 19021 22329 34734 38042 44658 52101 57063 104202 114126 133147 156303 171189 266294 312606 342378 399441 513567 798882 1027134 1198323 1726009 2396646 3452018 3594969 5178027 7189938 10356054 12082063 15534081 24164126 31068162 36246189 39698207 46602243 72492378 79396414 93204486 108738567 119094621 217477134 238189242 277887449 326215701 357283863 555774898 652431402 714567726 833662347 1071851589 1427409443 1667324694 2143703178 2500987041 2854818886 4282228329 5001974082 7502961123 8564456658 9991866101 12846684987 15005922246 19983732202 25693369974 29975598303 32830417189 38540054961 59951196606 65660834378 77080109922 89926794909 98491251567 179853589818 196982503134 229812920323 269780384727 295473754701 459625840646 539560769454 590947509402 689438760969 886421264103 1378877521938 1772842528206 2068316282907 4136632565814 6204948848721 12409897697442