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266942247138 = 2367219332
BaseRepresentation
bin1111100010011011111…
…1110111000011100010
3221112000122221012000000
43320212333313003202
513333144203402023
6322344230440430
725200035443200
oct3704677670342
9845018835000
10266942247138
11a3233a37296
124389a503116
131c2321110b8
14ccc497a070
156e253d4243
hex3e26ff70e2

266942247138 has 126 divisors (see below), whose sum is σ = 698722473969. Its totient is φ = 76229757072.

The previous prime is 266942247133. The next prime is 266942247149. The reversal of 266942247138 is 831742249662.

It is a happy number.

266942247138 is a `hidden beast` number, since 2 + 66 + 94 + 22 + 471 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 257904512649 + 9037734489 = 507843^2 + 95067^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=365337.

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

It is not an unprimeable number, because it can be changed into a prime (266942247133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 138096420 + ... + 138098352.

Almost surely, 2266942247138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266942247138

266942247138 is an abundant number, since it is smaller than the sum of its proper divisors (431780226831).

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

266942247138 is an frugal number, since it uses more digits than its factorization.

266942247138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 1945 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 266942247138 in words is "two hundred sixty-six billion, nine hundred forty-two million, two hundred forty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 1933 2646 3402 3866 3969 5103 5799 7938 10206 11598 11907 13531 17397 23814 27062 34794 35721 40593 52191 71442 81186 94717 104382 121779 156573 189434 243558 284151 313146 365337 469719 568302 730674 852453 939438 1096011 1409157 1704906 2192022 2557359 2818314 3288033 3736489 5114718 6576066 7472978 7672077 9864099 11209467 15344154 19728198 22418934 23016231 26155423 33628401 46032462 52310846 67256802 69048693 78466269 100885203 138097386 156932538 183087961 201770406 235398807 302655609 366175922 470797614 549263883 605311218 706196421 907966827 1098527766 1412392842 1647791649 1815933654 2118589263 2723900481 3295583298 4237178526 4943374947 5447800962 6355767789 9886749894 12711535578 14830124841 19067303367 29660249682 38134606734 44490374523 88980749046 133471123569 266942247138