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13146426261318 = 2377117107257707
BaseRepresentation
bin1011111101001110010000…
…0100010011111101000110
31201112210020001100022022010
42333103210010103331012
53210342340110330233
643543215043315050
72524540461315420
oct277234404237506
951483201308263
1013146426261318
1142094059970a9
121583a4767ba86
13744919a20aac
1433640cd01810
1517be7e640b63
hexbf4e4113f46

13146426261318 has 64 divisors (see below), whose sum is σ = 30474098823168. Its totient is φ = 3702987822240.

The previous prime is 13146426261317. The next prime is 13146426261329. The reversal of 13146426261318 is 81316262464131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146426261313) 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 31 ways as a sum of consecutive naturals, for example, 50884221 + ... + 51141927.

It is an arithmetic number, because the mean of its divisors is an integer number (476157794112).

Almost surely, 213146426261318 is an apocalyptic number.

13146426261318 is an abundant number, since it is smaller than the sum of its proper divisors (17327672561850).

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

13146426261318 is a wasteful number, since it uses less digits than its factorization.

13146426261318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274897.

The product of its digits is 995328, while the sum is 48.

The spelling of 13146426261318 in words is "thirteen trillion, one hundred forty-six billion, four hundred twenty-six million, two hundred sixty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2982 17107 34214 51321 102642 119749 239498 257707 359247 515414 718494 773121 1214597 1546242 1803949 2429194 3607898 3643791 5411847 7287582 8502179 10823694 17004358 18297197 25506537 36594394 51013074 54891591 109783182 128080379 256160758 384241137 768482274 4408593649 8817187298 13225780947 26451561894 30860155543 61720311086 92580466629 185160933258 313010149079 626020298158 939030447237 1878060894474 2191071043553 4382142087106 6573213130659 13146426261318