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349438674406957 is a prime number
BaseRepresentation
bin100111101110100000000100…
…0000011110000111000101101
31200211021000022000222020012121
41033131000020003300320231
5331300200401122010312
63235105524430032541
7133414053051331222
oct11735001003607055
91624230260866177
10349438674406957
11a1384122945413
1233237681048751
1311cc9c05723a65
146240cca2a3949
152a5ea7da8e707
hex13dd0080f0e2d

349438674406957 has 2 divisors, whose sum is σ = 349438674406958. Its totient is φ = 349438674406956.

The previous prime is 349438674406873. The next prime is 349438674407021. The reversal of 349438674406957 is 759604476834943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328871188657636 + 20567485749321 = 18134806^2 + 4535139^2 .

It is an emirp because it is prime and its reverse (759604476834943) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 349438674406957 - 223 = 349438666018349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (349438674404957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174719337203478 + 174719337203479.

It is an arithmetic number, because the mean of its divisors is an integer number (174719337203479).

Almost surely, 2349438674406957 is an apocalyptic number.

It is an amenable number.

349438674406957 is a deficient number, since it is larger than the sum of its proper divisors (1).

349438674406957 is an equidigital number, since it uses as much as digits as its factorization.

349438674406957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13168189440, while the sum is 79.

The spelling of 349438674406957 in words is "three hundred forty-nine trillion, four hundred thirty-eight billion, six hundred seventy-four million, four hundred six thousand, nine hundred fifty-seven".