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146390879729 is a prime number
BaseRepresentation
bin1000100001010110010…
…0111000110111110001
3111222212020021012121102
42020111210320313301
54344302031122404
6151130120334145
713401462642503
oct2102544706761
9458766235542
10146390879729
11570a1920726
1224456014355
1310a5c928033
14712a309d73
153c1bd1a71e
hex2215938df1

146390879729 has 2 divisors, whose sum is σ = 146390879730. Its totient is φ = 146390879728.

The previous prime is 146390879681. The next prime is 146390879839. The reversal of 146390879729 is 927978093641.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114834910129 + 31555969600 = 338873^2 + 177640^2 .

It is a cyclic number.

It is not a de Polignac number, because 146390879729 - 212 = 146390875633 is a prime.

It is a super-2 number, since 2×1463908797292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (146390879329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73195439864 + 73195439865.

It is an arithmetic number, because the mean of its divisors is an integer number (73195439865).

Almost surely, 2146390879729 is an apocalyptic number.

It is an amenable number.

146390879729 is a deficient number, since it is larger than the sum of its proper divisors (1).

146390879729 is an equidigital number, since it uses as much as digits as its factorization.

146390879729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41150592, while the sum is 65.

The spelling of 146390879729 in words is "one hundred forty-six billion, three hundred ninety million, eight hundred seventy-nine thousand, seven hundred twenty-nine".