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126738956153 = 1095717272801
BaseRepresentation
bin111011000001000111…
…0101111111101111001
3110010010122201001110002
41312002032233331321
54034030133044103
6134120103402345
712104465231615
oct1660216577571
9403118631402
10126738956153
1149827922677
12206907533b5
13bc4a3b1ba4
1461c4350345
15346b908488
hex1d823aff79

126738956153 has 16 divisors (see below), whose sum is σ = 128347739520. Its totient is φ = 125139168000.

The previous prime is 126738956147. The next prime is 126738956161. The reversal of 126738956153 is 351659837621.

It is a cyclic number.

It is not a de Polignac number, because 126738956153 - 212 = 126738952057 is a prime.

It is a super-3 number, since 3×1267389561533 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126738956143) 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 15 ways as a sum of consecutive naturals, for example, 45246353 + ... + 45249153.

It is an arithmetic number, because the mean of its divisors is an integer number (8021733720).

Almost surely, 2126738956153 is an apocalyptic number.

It is an amenable number.

126738956153 is a deficient number, since it is larger than the sum of its proper divisors (1608783367).

126738956153 is a wasteful number, since it uses less digits than its factorization.

126738956153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208.

The product of its digits is 8164800, while the sum is 56.

The spelling of 126738956153 in words is "one hundred twenty-six billion, seven hundred thirty-eight million, nine hundred fifty-six thousand, one hundred fifty-three".

Divisors: 1 109 571 727 2801 62239 79243 305309 415117 1599371 2036327 45247753 174331439 221959643 1162742717 126738956153