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3457743672841 is a prime number
BaseRepresentation
bin110010010100010001100…
…101010101011000001001
3110020120001002202011012121
4302110101211111120021
5423122424340012331
611204244315011241
7504546053164363
oct62242145253011
913216032664177
103457743672841
11111346a184147
1247a173439b21
131c10aa3047a3
14bd4da00bd33
155ee25748c11
hex32511955609

3457743672841 has 2 divisors, whose sum is σ = 3457743672842. Its totient is φ = 3457743672840.

The previous prime is 3457743672797. The next prime is 3457743672857. The reversal of 3457743672841 is 1482763477543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3457446455241 + 297217600 = 1859421^2 + 17240^2 .

It is an emirp because it is prime and its reverse (1482763477543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3457743672841 - 211 = 3457743670793 is a prime.

It is a super-2 number, since 2×34577436728412 (a number of 26 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 3457743672841.

It is not a weakly prime, because it can be changed into another prime (3457743672041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1728871836420 + 1728871836421.

It is an arithmetic number, because the mean of its divisors is an integer number (1728871836421).

Almost surely, 23457743672841 is an apocalyptic number.

It is an amenable number.

3457743672841 is a deficient number, since it is larger than the sum of its proper divisors (1).

3457743672841 is an equidigital number, since it uses as much as digits as its factorization.

3457743672841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94832640, while the sum is 61.

The spelling of 3457743672841 in words is "three trillion, four hundred fifty-seven billion, seven hundred forty-three million, six hundred seventy-two thousand, eight hundred forty-one".