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4130772435 = 325400122943
BaseRepresentation
bin1111011000110110…
…1001010111010011
3101122212202222111200
43312031221113103
531424434204220
61521520442243
7204235662216
oct36615512723
911585688450
104130772435
11182a793519
12973479383
1350aa4a95a
142b287577d
151929a7890
hexf63695d3

4130772435 has 24 divisors (see below), whose sum is σ = 7162107264. Its totient is φ = 2202432000.

The previous prime is 4130772391. The next prime is 4130772449. The reversal of 4130772435 is 5342770314.

It is not a de Polignac number, because 4130772435 - 28 = 4130772179 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4130772435.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168574 + ... + 191516.

It is an arithmetic number, because the mean of its divisors is an integer number (298421136).

Almost surely, 24130772435 is an apocalyptic number.

4130772435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4130772435 is a deficient number, since it is larger than the sum of its proper divisors (3031334829).

4130772435 is a wasteful number, since it uses less digits than its factorization.

4130772435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26955 (or 26952 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4130772435 is about 64271.0855284085. The cubic root of 4130772435 is about 1604.5149085741.

The spelling of 4130772435 in words is "four billion, one hundred thirty million, seven hundred seventy-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 4001 12003 20005 22943 36009 60015 68829 114715 180045 206487 344145 1032435 91794943 275384829 458974715 826154487 1376924145 4130772435