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10666124343 = 3272179971427
BaseRepresentation
bin10011110111100000…
…00010010000110111
31000112100012020221100
421323300002100313
5133321011434333
64522220021143
7525213363300
oct117360022067
930470166840
1010666124343
1145838270a6
1220980917b3
13100c9c87a4
147327dd7a7
154265dd213
hex27bc02437

10666124343 has 72 divisors (see below), whose sum is σ = 19008570672. Its totient is φ = 5726633472.

The previous prime is 10666124333. The next prime is 10666124363. The reversal of 10666124343 is 34342166601.

It is not a de Polignac number, because 10666124343 - 24 = 10666124327 is a prime.

It is a super-3 number, since 3×106661243433 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10666124298 and 10666124307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666124333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7473796 + ... + 7475222.

It is an arithmetic number, because the mean of its divisors is an integer number (264007926).

Almost surely, 210666124343 is an apocalyptic number.

10666124343 is a deficient number, since it is larger than the sum of its proper divisors (8342446329).

10666124343 is a wasteful number, since it uses less digits than its factorization.

10666124343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10666124343 in words is "ten billion, six hundred sixty-six million, one hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 997 1071 1427 2499 2991 4281 6979 7497 8973 9989 12843 16949 20937 24259 29967 48853 50847 62811 69923 72777 89901 118643 146559 152541 169813 209769 218331 355929 439677 509439 629307 830501 1067787 1188691 1422719 1528317 2491503 3566073 4268157 7474509 9959033 10698219 12804471 24186223 29877099 69713231 72558669 89631297 169303561 209139693 217676007 507910683 627419079 1185124927 1523732049 3555374781 10666124343