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172129607369 is a prime number
BaseRepresentation
bin1010000001001110111…
…0010101111011001001
3121110022000020001020022
42200103232111323021
510310010134413434
6211024130510225
715302350343666
oct2402356257311
9543260201208
10172129607369
1166aaa748765
1229439a35375
13133022102a5
14848c82ca6d
1547267b022e
hex2813b95ec9

172129607369 has 2 divisors, whose sum is σ = 172129607370. Its totient is φ = 172129607368.

The previous prime is 172129607341. The next prime is 172129607381. The reversal of 172129607369 is 963706921271.

172129607369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160249697344 + 11879910025 = 400312^2 + 108995^2 .

It is a cyclic number.

It is not a de Polignac number, because 172129607369 - 216 = 172129541833 is a prime.

It is a super-2 number, since 2×1721296073692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 172129607369.

It is not a weakly prime, because it can be changed into another prime (172129607389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86064803684 + 86064803685.

It is an arithmetic number, because the mean of its divisors is an integer number (86064803685).

Almost surely, 2172129607369 is an apocalyptic number.

It is an amenable number.

172129607369 is a deficient number, since it is larger than the sum of its proper divisors (1).

172129607369 is an equidigital number, since it uses as much as digits as its factorization.

172129607369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1714608, while the sum is 53.

The spelling of 172129607369 in words is "one hundred seventy-two billion, one hundred twenty-nine million, six hundred seven thousand, three hundred sixty-nine".