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6642144135 = 3251122036091
BaseRepresentation
bin1100010111110011…
…10001001110000111
3122010220100212211100
412023321301032013
5102100342103020
63015032111143
7323412202464
oct61371611607
918126325740
106642144135
1128a9354220
1213545354b3
1381b12c103
1447020666b
1528d1cca90
hex18be71387

6642144135 has 48 divisors (see below), whose sum is σ = 12567454848. Its totient is φ = 3218443200.

The previous prime is 6642144097. The next prime is 6642144151. The reversal of 6642144135 is 5314412466.

6642144135 is a `hidden beast` number, since 6 + 642 + 1 + 4 + 4 + 1 + 3 + 5 = 666.

6642144135 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6642144135 - 27 = 6642144007 is a prime.

It is a super-2 number, since 2×66421441352 = 88236157420229796450, which contains 22 as substring.

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 6642144135.

It is a congruent number.

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, 1087440 + ... + 1093530.

It is an arithmetic number, because the mean of its divisors is an integer number (261821976).

Almost surely, 26642144135 is an apocalyptic number.

6642144135 is a deficient number, since it is larger than the sum of its proper divisors (5925310713).

6642144135 is a wasteful number, since it uses less digits than its factorization.

6642144135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 8313 counting only the distinct ones).

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

The square root of 6642144135 is about 81499.3505188845. The cubic root of 6642144135 is about 1879.7615639024.

The spelling of 6642144135 in words is "six billion, six hundred forty-two million, one hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 2203 6091 6609 11015 18273 19827 24233 30455 33045 54819 67001 72699 91365 99135 121165 201003 218097 274095 335005 363495 603009 1005015 1090485 3015045 13418473 40255419 67092365 120766257 147603203 201277095 442809609 603831285 738016015 1328428827 2214048045 6642144135