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42227493540957 = 3213734247764429
BaseRepresentation
bin10011001100111110110101…
…10000001001010001011101
312112111220112122000010201200
421212133122300021101131
521013323401321302312
6225451013121230113
711615556440534634
oct1146373260112135
9175456478003650
1042227493540957
111250064126532a
12489bb7a192339
131a74060161a1a
14a5db7064251b
154d3679be30dc
hex2667dac0945d

42227493540957 has 12 divisors (see below), whose sum is σ = 61440489387420. Its totient is φ = 27946175773248.

The previous prime is 42227493540899. The next prime is 42227493540959. The reversal of 42227493540957 is 75904539472224.

It is a happy number.

42227493540957 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 7 + 493 + 54 + 0 + 95 + 7 = 666.

42227493540957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24280315380036 + 17947178160921 = 4927506^2 + 4236411^2 .

It is not a de Polignac number, because 42227493540957 - 231 = 42225346057309 is a prime.

It is a super-2 number, since 2×422274935409572 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42227493540894 and 42227493540903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42227493540959) 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 11 ways as a sum of consecutive naturals, for example, 17123880982 + ... + 17123883447.

It is an arithmetic number, because the mean of its divisors is an integer number (5120040782285).

Almost surely, 242227493540957 is an apocalyptic number.

It is an amenable number.

42227493540957 is a deficient number, since it is larger than the sum of its proper divisors (19212995846463).

42227493540957 is a wasteful number, since it uses less digits than its factorization.

42227493540957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34247764572 (or 34247764569 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 42227493540957 in words is "forty-two trillion, two hundred twenty-seven billion, four hundred ninety-three million, five hundred forty thousand, nine hundred fifty-seven".

Divisors: 1 3 9 137 411 1233 34247764429 102743293287 308229879861 4691943726773 14075831180319 42227493540957