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135606045357 = 3218897976357
BaseRepresentation
bin111111001001011000…
…0000000101010101101
3110222000121200212010100
41332102300000222231
54210210121422412
6142144020101313
712540305236626
oct1762260005255
9428017625110
10135606045357
1152568093a72
1222346234839
13ca31467833
1467c5c48a4d
1537da0cdedc
hex1f92c00aad

135606045357 has 12 divisors (see below), whose sum is σ = 195979116060. Its totient is φ = 90356160768.

The previous prime is 135606045353. The next prime is 135606045469. The reversal of 135606045357 is 753540606531.

135606045357 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 0 + 604 + 5 + 35 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70423359876 + 65182685481 = 265374^2 + 255309^2 .

It is not a de Polignac number, because 135606045357 - 22 = 135606045353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135606045353) 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 in 11 ways as a sum of consecutive naturals, for example, 3971178 + ... + 4005179.

It is an arithmetic number, because the mean of its divisors is an integer number (16331593005).

Almost surely, 2135606045357 is an apocalyptic number.

It is an amenable number.

135606045357 is a deficient number, since it is larger than the sum of its proper divisors (60373070703).

135606045357 is a wasteful number, since it uses less digits than its factorization.

135606045357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978252 (or 7978249 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 135606045357 in words is "one hundred thirty-five billion, six hundred six million, forty-five thousand, three hundred fifty-seven".

Divisors: 1 3 9 1889 5667 17001 7976357 23929071 71787213 15067338373 45202015119 135606045357