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129431574757 = 41102112132549
BaseRepresentation
bin111100010001010111…
…0010001100011100101
3110101002022100020210001
41320202232101203211
54110033440343012
6135243211501301
712231302142622
oct1704256214345
9411068306701
10129431574757
114a989827901
1221102457831
13c2891b2934
14639bbc1349
153577ed1357
hex1e22b918e5

129431574757 has 16 divisors (see below), whose sum is σ = 132879826800. Its totient is φ = 125997580800.

The previous prime is 129431574709. The next prime is 129431574761. The reversal of 129431574757 is 757475134921.

It is a Cunningham number, because it is equal to 3597662+1.

It can be written as a sum of positive squares in 8 ways, for example, as 9761242401 + 119670332356 = 98799^2 + 345934^2 .

It is a cyclic number.

It is not a de Polignac number, because 129431574757 - 235 = 95071836389 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129431574698 and 129431574707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129431574787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50776119 + ... + 50778667.

It is an arithmetic number, because the mean of its divisors is an integer number (8304989175).

Almost surely, 2129431574757 is an apocalyptic number.

It is an amenable number.

129431574757 is a deficient number, since it is larger than the sum of its proper divisors (3448252043).

129431574757 is a wasteful number, since it uses less digits than its factorization.

129431574757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824.

The product of its digits is 7408800, while the sum is 55.

The spelling of 129431574757 in words is "one hundred twenty-nine billion, four hundred thirty-one million, five hundred seventy-four thousand, seven hundred fifty-seven".

Divisors: 1 41 1021 1213 2549 41861 49733 104509 1238473 2602529 3091937 50777393 106703689 126769417 3156867677 129431574757