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126766957329 = 3216578500433
BaseRepresentation
bin111011000001111100…
…1100100001100010001
3110010012121101122211200
41312003321210030101
54034104320113304
6134122543501413
712105255233655
oct1660371441421
9403177348750
10126766957329
1149841708341
1220699bb7869
13bc5313712c
1461c7d5ca65
15346e0d9e39
hex1d83e64311

126766957329 has 12 divisors (see below), whose sum is σ = 183218354436. Its totient is φ = 84460292352.

The previous prime is 126766957327. The next prime is 126766957417. The reversal of 126766957329 is 923759667621.

It can be written as a sum of positive squares in 2 ways, for example, as 13507785729 + 113259171600 = 116223^2 + 336540^2 .

It is not a de Polignac number, because 126766957329 - 21 = 126766957327 is a prime.

It is a super-2 number, since 2×1267669573292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126766957327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4235304 + ... + 4265129.

It is an arithmetic number, because the mean of its divisors is an integer number (15268196203).

Almost surely, 2126766957329 is an apocalyptic number.

It is an amenable number.

126766957329 is a deficient number, since it is larger than the sum of its proper divisors (56451397107).

126766957329 is a wasteful number, since it uses less digits than its factorization.

126766957329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502096 (or 8502093 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 126766957329 in words is "one hundred twenty-six billion, seven hundred sixty-six million, nine hundred fifty-seven thousand, three hundred twenty-nine".

Divisors: 1 3 9 1657 4971 14913 8500433 25501299 76503897 14085217481 42255652443 126766957329