Search a number
-
+
6142049649 = 3219411974447
BaseRepresentation
bin1011011100001100…
…00011110101110001
3120212001100110011100
411232012003311301
5100034331042044
62453245235013
7305130363201
oct55606036561
916761313140
106142049649
11267203289a
121234b62a69
1376b643008
14423a28401
1525e346869
hex16e183d71

6142049649 has 48 divisors (see below), whose sum is σ = 9617287680. Its totient is φ = 3764517120.

The previous prime is 6142049647. The next prime is 6142049659. The reversal of 6142049649 is 9469402416.

6142049649 is a `hidden beast` number, since 614 + 20 + 4 + 9 + 6 + 4 + 9 = 666.

It is not a de Polignac number, because 6142049649 - 21 = 6142049647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6142049647) 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, 1378944 + ... + 1383390.

It is an arithmetic number, because the mean of its divisors is an integer number (200360160).

Almost surely, 26142049649 is an apocalyptic number.

It is an amenable number.

6142049649 is a deficient number, since it is larger than the sum of its proper divisors (3475238031).

6142049649 is a wasteful number, since it uses less digits than its factorization.

6142049649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6142049649 is about 78371.2297274963. The cubic root of 6142049649 is about 1831.3489659631.

The spelling of 6142049649 in words is "six billion, one hundred forty-two million, forty-nine thousand, six hundred forty-nine".

Divisors: 1 3 9 19 41 57 123 171 197 369 591 779 1773 2337 3743 4447 7011 8077 11229 13341 24231 33687 40023 72693 84493 153463 182327 253479 460389 546981 760437 876059 1381167 1640943 2628177 3464213 7884531 10392639 16645121 31177917 35918419 49935363 107755257 149806089 323265771 682449961 2047349883 6142049649