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4164265413 = 3271117353473
BaseRepresentation
bin1111100000110101…
…1010010111000101
3101202012210121020100
43320031122113011
532012022443123
61525114354313
7205123446330
oct37015322705
911665717210
104164265413
11184768a270
1298272b999
13514976799
142b70b3617
151958c1643
hexf835a5c5

4164265413 has 48 divisors (see below), whose sum is σ = 7940439936. Its totient is φ = 2035998720.

The previous prime is 4164265393. The next prime is 4164265421. The reversal of 4164265413 is 3145624614.

4164265413 is a `hidden beast` number, since 4 + 1 + 642 + 6 + 5 + 4 + 1 + 3 = 666.

It is not a de Polignac number, because 4164265413 - 29 = 4164264901 is a prime.

It is a super-2 number, since 2×41642654132 = 34682212859816121138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164265493) 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 47 ways as a sum of consecutive naturals, for example, 164956 + ... + 188517.

It is an arithmetic number, because the mean of its divisors is an integer number (165425832).

Almost surely, 24164265413 is an apocalyptic number.

It is an amenable number.

4164265413 is a deficient number, since it is larger than the sum of its proper divisors (3776174523).

4164265413 is a wasteful number, since it uses less digits than its factorization.

4164265413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353514 (or 353511 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4164265413 is about 64531.1197252922. The cubic root of 4164265413 is about 1608.8397969521.

The spelling of 4164265413 in words is "four billion, one hundred sixty-four million, two hundred sixty-five thousand, four hundred thirteen".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11781 353473 1060419 2474311 3181257 3888203 6009041 7422933 11664609 18027123 22268799 27217421 34993827 42063287 54081369 66099451 81652263 126189861 198298353 244956789 378569583 462696157 594895059 1388088471 4164265413