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401218046686997 is a prime number
BaseRepresentation
bin101101100111001111101101…
…1001001100111011100010101
31221121121001220111222220122222
41123032133123021213130111
5410042024024422440442
63541153005350432125
7150340022135636231
oct13316373311473425
91847531814886588
10401218046686997
11106927688692841
1238bba8b4062645
13142b4912931477
1471110b28735c1
15315b9073458d2
hex16ce7db267715

401218046686997 has 2 divisors, whose sum is σ = 401218046686998. Its totient is φ = 401218046686996.

The previous prime is 401218046686993. The next prime is 401218046687033. The reversal of 401218046686997 is 799686640812104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 346928397528196 + 54289649158801 = 18626014^2 + 7368151^2 .

It is a cyclic number.

It is not a de Polignac number, because 401218046686997 - 22 = 401218046686993 is a prime.

It is a super-3 number, since 3×4012180466869973 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401218046686997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401218046686993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200609023343498 + 200609023343499.

It is an arithmetic number, because the mean of its divisors is an integer number (200609023343499).

Almost surely, 2401218046686997 is an apocalyptic number.

It is an amenable number.

401218046686997 is a deficient number, since it is larger than the sum of its proper divisors (1).

401218046686997 is an equidigital number, since it uses as much as digits as its factorization.

401218046686997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 250822656, while the sum is 71.

The spelling of 401218046686997 in words is "four hundred one trillion, two hundred eighteen billion, forty-six million, six hundred eighty-six thousand, nine hundred ninety-seven".