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132635405121629 is a prime number
BaseRepresentation
bin11110001010000110010110…
…001101001111100001011101
3122101121211011102200201120012
4132022012112031033201131
5114341044302202343004
61150031510335533005
736636406661503514
oct3612062615174135
9571554142621505
10132635405121629
11392973a5436503
1212a6176898a165
1359016078b3267
1424a783313767b
1510502407ea46e
hex78a19634f85d

132635405121629 has 2 divisors, whose sum is σ = 132635405121630. Its totient is φ = 132635405121628.

The previous prime is 132635405121539. The next prime is 132635405121641. The reversal of 132635405121629 is 926121504536231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129581841093604 + 3053564028025 = 11383402^2 + 1747445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132635405121629 is a prime.

It is a super-2 number, since 2×1326354051216292 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132635405121649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66317702560814 + 66317702560815.

It is an arithmetic number, because the mean of its divisors is an integer number (66317702560815).

Almost surely, 2132635405121629 is an apocalyptic number.

It is an amenable number.

132635405121629 is a deficient number, since it is larger than the sum of its proper divisors (1).

132635405121629 is an equidigital number, since it uses as much as digits as its factorization.

132635405121629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 132635405121629 in words is "one hundred thirty-two trillion, six hundred thirty-five billion, four hundred five million, one hundred twenty-one thousand, six hundred twenty-nine".