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268058706672 = 243171132907109
BaseRepresentation
bin1111100110100110001…
…0110100001011110000
3221121220110202012120010
43321221202310023300
513342441012103142
6323051112214520
725236513261231
oct3715142641360
9847813665503
10268058706672
11a3757173919
1243b5039a440
131c37c505843
14cd8cd61088
156e8d41be9c
hex3e698b42f0

268058706672 has 80 divisors (see below), whose sum is σ = 739708325280. Its totient is φ = 83352600576.

The previous prime is 268058706667. The next prime is 268058706697. The reversal of 268058706672 is 276607850862.

It is a happy number.

268058706672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1361347 + ... + 1545762.

It is an arithmetic number, because the mean of its divisors is an integer number (9246354066).

Almost surely, 2268058706672 is an apocalyptic number.

It is an amenable number.

268058706672 is an abundant number, since it is smaller than the sum of its proper divisors (471649618608).

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

268058706672 is a wasteful number, since it uses less digits than its factorization.

268058706672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907250 (or 2907244 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 268058706672 in words is "two hundred sixty-eight billion, fifty-eight million, seven hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 204 226 272 339 408 452 678 816 904 1356 1808 1921 2712 3842 5424 5763 7684 11526 15368 23052 30736 46104 92208 2907109 5814218 8721327 11628436 17442654 23256872 34885308 46513744 49420853 69770616 98841706 139541232 148262559 197683412 296525118 328503317 395366824 593050236 657006634 790733648 985509951 1186100472 1314013268 1971019902 2372200944 2628026536 3942039804 5256053072 5584556389 7884079608 11169112778 15768159216 16753669167 22338225556 33507338334 44676451112 67014676668 89352902224 134029353336 268058706672