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268641471 = 3722924153
BaseRepresentation
bin10000000000110…
…010010010111111
3200201111101211010
4100000302102333
51022233011341
642353530303
76441262200
oct2000622277
9621441733
10268641471
1112870634a
1275b73993
134386b667
142796d5a7
15188b7716
hex100324bf

268641471 has 72 divisors (see below), whose sum is σ = 450397584. Its totient is φ = 141872640.

The previous prime is 268641469. The next prime is 268641479. The reversal of 268641471 is 174146862.

It is not a de Polignac number, because 268641471 - 21 = 268641469 is a prime.

It is a super-3 number, since 3×2686414713 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268641479) 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, 5068681 + ... + 5068733.

It is an arithmetic number, because the mean of its divisors is an integer number (6255522).

Almost surely, 2268641471 is an apocalyptic number.

268641471 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

268641471 is a deficient number, since it is larger than the sum of its proper divisors (181756113).

268641471 is a wasteful number, since it uses less digits than its factorization.

268641471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 133 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 268641471 is about 16390.2858730408. The cubic root of 268641471 is about 645.2445608261.

The spelling of 268641471 in words is "two hundred sixty-eight million, six hundred forty-one thousand, four hundred seventy-one".

Divisors: 1 3 7 21 29 41 49 53 87 123 147 159 203 287 371 609 841 861 1113 1189 1421 1537 2009 2173 2523 2597 3567 4263 4611 5887 6027 6519 7791 8323 10759 15211 17661 24969 32277 34481 41209 44573 45633 58261 63017 75313 103443 106477 123627 133719 174783 189051 225939 241367 312011 319431 441119 724101 936033 1323357 1689569 1827493 2184077 3087833 5068707 5482479 6552231 9263499 12792451 38377353 89547157 268641471