Search a number
-
+
6391043136 = 263233312
BaseRepresentation
bin1011111001110111…
…11001010001000000
3121111101212122000100
411330323321101000
5101042101340021
62534102122400
7314242653552
oct57473712100
917441778010
106391043136
11278a639335
1212a4420400
137ab0c253a
14448b214d2
1527612c626
hex17cef9440

6391043136 has 63 divisors (see below), whose sum is σ = 18324272343. Its totient is φ = 2129708160.

The previous prime is 6391043119. The next prime is 6391043147. The reversal of 6391043136 is 6313401936.

The square root of 6391043136 is 79944.

It is a perfect power (a square), and thus also a powerful number.

6391043136 is a `hidden beast` number, since 639 + 1 + 0 + 4 + 3 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6391043136.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1916991 + ... + 1920321.

Almost surely, 26391043136 is an apocalyptic number.

6391043136 is the 79944-th square number.

It is an amenable number.

6391043136 is an abundant number, since it is smaller than the sum of its proper divisors (11933229207).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6391043136 is an frugal number, since it uses more digits than its factorization.

6391043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The cubic root of 6391043136 is about 1855.7690024146.

Multiplying 6391043136 by its sum of digits (36), we get a square (230077552896 = 4796642).

6391043136 divided by its sum of digits (36) gives a square (177528976 = 133242).

The spelling of 6391043136 in words is "six billion, three hundred ninety-one million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3331 6662 9993 13324 19986 26648 29979 39972 53296 59958 79944 106592 119916 159888 213184 239832 319776 479664 639552 959328 1918656 11095561 22191122 33286683 44382244 66573366 88764488 99860049 133146732 177528976 199720098 266293464 355057952 399440196 532586928 710115904 798880392 1065173856 1597760784 2130347712 3195521568 6391043136