Search a number
-
+
26245741131137 = 11217107283421361
BaseRepresentation
bin1011111011110110100000…
…00100111011010110000001
310102221001211211021221220102
411331323100010323112001
511420002234212144022
6131453043234252145
75346122634465413
oct575732004732601
9112831754257812
1026245741131137
1183a9835709500
122b3a725727055
131184c69284868
1466a42cda09b3
15307aa2ccaa92
hex17ded013b581

26245741131137 has 48 divisors (see below), whose sum is σ = 30940092542016. Its totient is φ = 22167715891200.

The previous prime is 26245741131133. The next prime is 26245741131157. The reversal of 26245741131137 is 73113114754262.

It is not a de Polignac number, because 26245741131137 - 22 = 26245741131133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26245741131091 and 26245741131100.

It is not an unprimeable number, because it can be changed into a prime (26245741131133) 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 47 ways as a sum of consecutive naturals, for example, 62077337 + ... + 62498697.

It is an arithmetic number, because the mean of its divisors is an integer number (644585261292).

Almost surely, 226245741131137 is an apocalyptic number.

It is an amenable number.

26245741131137 is a deficient number, since it is larger than the sum of its proper divisors (4694351410879).

26245741131137 is a wasteful number, since it uses less digits than its factorization.

26245741131137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421790 (or 421779 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

Adding to 26245741131137 its reverse (73113114754262), we get a palindrome (99358855885399).

The spelling of 26245741131137 in words is "twenty-six trillion, two hundred forty-five billion, seven hundred forty-one million, one hundred thirty-one thousand, one hundred thirty-seven".

Divisors: 1 11 17 107 121 187 283 1177 1819 2057 3113 4811 12947 20009 30281 34243 52921 220099 333091 421361 514777 582131 3664001 4634971 5662547 7163137 45085627 50984681 62288017 78794507 119245163 495941897 766455659 866739577 1311696793 2027167771 5455360867 8431012249 12759232441 14428664723 22298845481 92741134739 140351556851 216906951497 245287300291 1543867125361 2385976466467 26245741131137