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4138160157 = 34192688863
BaseRepresentation
bin1111011010100111…
…0101000000011101
3101200101200022120000
43312221311000131
531433332111112
61522343044513
7204355531605
oct36651650035
911611608500
104138160157
111833979a7a
12975a40739
1350c4364a1
142b3839c05
151934667dc
hexf6a7501d

4138160157 has 20 divisors (see below), whose sum is σ = 6507050880. Its totient is φ = 2613573864.

The previous prime is 4138160153. The next prime is 4138160219. The reversal of 4138160157 is 7510618314.

4138160157 is a `hidden beast` number, since 41 + 3 + 8 + 1 + 601 + 5 + 7 = 666.

It is not a de Polignac number, because 4138160157 - 22 = 4138160153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138160153) 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 19 ways as a sum of consecutive naturals, for example, 1342893 + ... + 1345970.

It is an arithmetic number, because the mean of its divisors is an integer number (325352544).

Almost surely, 24138160157 is an apocalyptic number.

It is an amenable number.

4138160157 is a deficient number, since it is larger than the sum of its proper divisors (2368890723).

4138160157 is a wasteful number, since it uses less digits than its factorization.

4138160157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688894 (or 2688885 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4138160157 is about 64328.5329927552. The cubic root of 4138160157 is about 1605.4708759030.

The spelling of 4138160157 in words is "four billion, one hundred thirty-eight million, one hundred sixty thousand, one hundred fifty-seven".

Divisors: 1 3 9 19 27 57 81 171 513 1539 2688863 8066589 24199767 51088397 72599301 153265191 217797903 459795573 1379386719 4138160157