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4106838195 = 325432339109
BaseRepresentation
bin1111010011001001…
…0110000010110011
3101121012201222220100
43310302112002303
531402322310240
61515303443443
7203525356125
oct36462260263
911535658810
104106838195
111818226359
12967456583
13505aba895
142ad605215
1519082ae30
hexf4c960b3

4106838195 has 48 divisors (see below), whose sum is σ = 7316131680. Its totient is φ = 2129960448.

The previous prime is 4106838173. The next prime is 4106838251. The reversal of 4106838195 is 5918386014.

4106838195 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 4106838195 - 27 = 4106838067 is a prime.

It is a super-2 number, since 2×41068381952 = 33732239919821716050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4106838195.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446301 + ... + 455409.

It is an arithmetic number, because the mean of its divisors is an integer number (152419410).

Almost surely, 24106838195 is an apocalyptic number.

4106838195 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4106838195 is a deficient number, since it is larger than the sum of its proper divisors (3209293485).

4106838195 is a wasteful number, since it uses less digits than its factorization.

4106838195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4106838195 is about 64084.6174600426. The cubic root of 4106838195 is about 1601.4099804143.

The spelling of 4106838195 in words is "four billion, one hundred six million, eight hundred thirty-eight thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 43 45 129 215 233 387 645 699 1165 1935 2097 3495 9109 10019 10485 27327 30057 45545 50095 81981 90171 136635 150285 391687 409905 450855 1175061 1958435 2122397 3525183 5875305 6367191 10611985 17625915 19101573 31835955 91263071 95507865 273789213 456315355 821367639 1368946065 4106838195