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129211297641 = 32109344938189
BaseRepresentation
bin111100001010110010…
…1111110111101101001
3110100111221212000101100
41320111211332331221
54104111043011031
6135205302312013
712222655623366
oct1702545767551
9410457760340
10129211297641
114a8864553a8
1221060728609
13c25267904a
14637a84146d
1535639bdde6
hex1e1597ef69

129211297641 has 24 divisors (see below), whose sum is σ = 188410365000. Its totient is φ = 85323601152.

The previous prime is 129211297619. The next prime is 129211297667. The reversal of 129211297641 is 146792112921.

129211297641 is a `hidden beast` number, since 1 + 292 + 11 + 297 + 64 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1264869225 + 127946428416 = 35565^2 + 357696^2 .

It is not a de Polignac number, because 129211297641 - 221 = 129209200489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129211290641) 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 23 ways as a sum of consecutive naturals, for example, 3364375 + ... + 3402563.

It is an arithmetic number, because the mean of its divisors is an integer number (7850431875).

Almost surely, 2129211297641 is an apocalyptic number.

It is an amenable number.

129211297641 is a deficient number, since it is larger than the sum of its proper divisors (59199067359).

129211297641 is a wasteful number, since it uses less digits than its factorization.

129211297641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41753 (or 41750 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 129211297641 in words is "one hundred twenty-nine billion, two hundred eleven million, two hundred ninety-seven thousand, six hundred forty-one".

Divisors: 1 3 9 109 327 981 3449 10347 31041 38189 114567 343701 375941 1127823 3383469 4162601 12487803 37463409 131713861 395141583 1185424749 14356810849 43070432547 129211297641