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12107047743 = 3272173794261
BaseRepresentation
bin10110100011010001…
…01110001100111111
31011020202112202020200
423101220232030333
5144243401011433
65321212014543
7606011131200
oct132150561477
934222482220
1012107047743
11515312718a
12241a761453
1311ac3a519b
1482bd255a7
154acd68613
hex2d1a2e33f

12107047743 has 72 divisors (see below), whose sum is σ = 21601691280. Its totient is φ = 6492648960.

The previous prime is 12107047697. The next prime is 12107047747. The reversal of 12107047743 is 34774070121.

It is not a de Polignac number, because 12107047743 - 216 = 12106982207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12107047698 and 12107047707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107047747) 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 71 ways as a sum of consecutive naturals, for example, 2839233 + ... + 2843493.

It is an arithmetic number, because the mean of its divisors is an integer number (300023490).

Almost surely, 212107047743 is an apocalyptic number.

12107047743 is a deficient number, since it is larger than the sum of its proper divisors (9494643537).

12107047743 is a wasteful number, since it uses less digits than its factorization.

12107047743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 12107047743 in words is "twelve billion, one hundred seven million, forty-seven thousand, seven hundred forty-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 379 441 833 1071 1137 2499 2653 3411 4261 6443 7497 7959 12783 18571 19329 23877 29827 38349 45101 55713 57987 72437 89481 135303 167139 208789 217311 268443 315707 405909 507059 626367 651933 947121 1521177 1614919 1879101 2841363 3549413 4563531 4844757 10648239 11304433 14534271 27453623 31944717 33913299 79131031 82360869 101739897 192175361 237393093 247082607 576526083 712179279 1345227527 1729578249 4035682581 12107047743