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42016246216001 = 1732512557737831
BaseRepresentation
bin10011000110110101010110…
…11011100011010101000001
312111202201021102220010221022
421203122223123203111001
521001343233012403001
6225205555210035225
711564400515104031
oct1143325333432501
9174681242803838
1042016246216001
1112429a9869a452
124867043a18b15
131a5a1659012a5
14a538508ad8c1
154cce1412811b
hex2636ab6e3541

42016246216001 has 16 divisors (see below), whose sum is σ = 42430258055808. Its totient is φ = 41604223440000.

The previous prime is 42016246215943. The next prime is 42016246216019. The reversal of 42016246216001 is 10061264261024.

42016246216001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42016246216001 - 214 = 42016246199617 is a prime.

It is a super-2 number, since 2×420162462160012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42016246216031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110611156 + ... + 1110648986.

It is an arithmetic number, because the mean of its divisors is an integer number (2651891128488).

Almost surely, 242016246216001 is an apocalyptic number.

It is an amenable number.

42016246216001 is a deficient number, since it is larger than the sum of its proper divisors (414011839807).

42016246216001 is a wasteful number, since it uses less digits than its factorization.

42016246216001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63832.

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 42016246216001 its sum of digits (35), we get a square (42016246216036 = 64819942).

The spelling of 42016246216001 in words is "forty-two trillion, sixteen billion, two hundred forty-six million, two hundred sixteen thousand, one".

Divisors: 1 173 251 25577 37831 43423 4424821 6419827 6544763 9495581 967603487 1110630071 1642735513 167395403251 242868475237 42016246216001