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268221888012 = 223134259403703
BaseRepresentation
bin1111100111001101000…
…1010011011000001100
3221122022211210200021110
43321303101103120030
513343304300404022
6323115221532020
725243534300461
oct3716321233014
9848284720243
10268221888012
11a3830299431
1243b96b74010
131c3a726b350
14cda68bb668
156e9c90200c
hex3e7345360c

268221888012 has 48 divisors (see below), whose sum is σ = 674153383680. Its totient is φ = 82510229568.

The previous prime is 268221887971. The next prime is 268221888017. The reversal of 268221888012 is 210888122862.

It is a happy number.

268221888012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (268221888017) by changing a digit.

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, 462553 + ... + 866255.

It is an arithmetic number, because the mean of its divisors is an integer number (14044862160).

Almost surely, 2268221888012 is an apocalyptic number.

It is an amenable number.

268221888012 is an abundant number, since it is smaller than the sum of its proper divisors (405931495668).

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

268221888012 is a wasteful number, since it uses less digits than its factorization.

268221888012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407982 (or 407980 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 268221888012 in words is "two hundred sixty-eight billion, two hundred twenty-one million, eight hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 4259 8518 12777 17036 25554 51108 55367 110734 166101 221468 332202 403703 664404 807406 1211109 1614812 2422218 4844436 5248139 10496278 15744417 20992556 31488834 62977668 1719371077 3438742154 5158113231 6877484308 10316226462 20632452924 22351824001 44703648002 67055472003 89407296004 134110944006 268221888012