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66042146106363 = 377607413417129
BaseRepresentation
bin11110000010000101000101…
…01010001010101111111011
322122211120022201021002211210
433001002202222022233323
532124013303400400423
6352243202034454203
716624246642434360
oct1701024252125773
9278746281232753
1066042146106363
111a052353842019
1274a74b1134363
132ab09947a275b
141244657b42467
15797d93b45b93
hex3c10a2a8abfb

66042146106363 has 16 divisors (see below), whose sum is σ = 100648880801280. Its totient is φ = 37733408106816.

The previous prime is 66042146106361. The next prime is 66042146106403. The reversal of 66042146106363 is 36360164124066.

It is a happy number.

66042146106363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66042146106363 - 21 = 66042146106361 is a prime.

It is a super-2 number, since 2×660421461063632 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66042146106361) 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, 206548818 + ... + 206868311.

It is an arithmetic number, because the mean of its divisors is an integer number (6290555050080).

Almost surely, 266042146106363 is an apocalyptic number.

66042146106363 is a deficient number, since it is larger than the sum of its proper divisors (34606734694917).

66042146106363 is a wasteful number, since it uses less digits than its factorization.

66042146106363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413424746.

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 66042146106363 in words is "sixty-six trillion, forty-two billion, one hundred forty-six million, one hundred six thousand, three hundred sixty-three".

Divisors: 1 3 7 21 7607 22821 53249 159747 413417129 1240251387 2893919903 8681759709 3144864100303 9434592300909 22014048702121 66042146106363