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268272458460 = 22345165600283
BaseRepresentation
bin1111100111011001001…
…0001101101011011100
3221122110100221220220000
43321312102031223130
513343410222132320
6323124225454300
725245020162256
oct3716622155334
9848410856800
10268272458460
11a3856899796
1243babaa1390
131c3b48962a6
14cdad4c2cd6
156ea2090c90
hex3e7648dadc

268272458460 has 60 divisors (see below), whose sum is σ = 841580643288. Its totient is φ = 71539321824.

The previous prime is 268272458429. The next prime is 268272458471. The reversal of 268272458460 is 64854272862.

268272458460 is a `hidden beast` number, since 2 + 6 + 82 + 72 + 458 + 46 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2682724584602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 268272458397 and 268272458406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82798522 + ... + 82801761.

Almost surely, 2268272458460 is an apocalyptic number.

268272458460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268272458460 is an abundant number, since it is smaller than the sum of its proper divisors (573308184828).

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

268272458460 is a wasteful number, since it uses less digits than its factorization.

268272458460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165600304 (or 165600293 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 268272458460 in words is "two hundred sixty-eight billion, two hundred seventy-two million, four hundred fifty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 165600283 331200566 496800849 662401132 828001415 993601698 1490402547 1656002830 1987203396 2484004245 2980805094 3312005660 4471207641 4968008490 5961610188 7452012735 8942415282 9936016980 13413622923 14904025470 17884830564 22356038205 26827245846 29808050940 44712076410 53654491692 67068114615 89424152820 134136229230 268272458460