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268349541471 = 321161386311503
BaseRepresentation
bin1111100111101011100…
…0010000110001011111
3221122122202000010220100
43321322320100301133
513344034440311341
6323140021552143
725246644316134
oct3717270206137
9848582003810
10268349541471
11a3896358360
1244011875653
131c3c7844a3b
14cdb982a58b
156ea8c1a3b6
hex3e7ae10c5f

268349541471 has 48 divisors (see below), whose sum is σ = 429934482432. Its totient is φ = 159914606400.

The previous prime is 268349541469. The next prime is 268349541503. The reversal of 268349541471 is 174145943862.

268349541471 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 495 + 4 + 147 + 1 = 666.

It is not a de Polignac number, because 268349541471 - 21 = 268349541469 is a prime.

It is a super-3 number, since 3×2683495414713 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268349548471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23322906 + ... + 23334408.

It is an arithmetic number, because the mean of its divisors is an integer number (8956968384).

Almost surely, 2268349541471 is an apocalyptic number.

268349541471 is a deficient number, since it is larger than the sum of its proper divisors (161584940961).

268349541471 is a wasteful number, since it uses less digits than its factorization.

268349541471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15444 (or 15441 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 268349541471 in words is "two hundred sixty-eight billion, three hundred forty-nine million, five hundred forty-one thousand, four hundred seventy-one".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 3863 6039 11503 11589 34509 34767 42493 103527 126533 127479 235643 379599 382437 701683 706929 1138797 2105049 2120787 2592073 6315147 7718513 7776219 23155539 23328657 44436089 69466617 133308267 399924801 488796979 1466390937 2710601429 4399172811 8131804287 24395412861 29816615719 89449847157 268349541471