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6005427043 = 711313797701
BaseRepresentation
bin1011001011111001…
…11000101101100011
3120111112021022011211
411211330320231203
544244342131133
62431525050551
7301551200440
oct54574705543
916445238154
106005427043
1126019a8250
1211b7256a57
13749249035
1440d8229c7
1525235abcd
hex165f38b63

6005427043 has 64 divisors (see below), whose sum is σ = 8030969856. Its totient is φ = 4354560000.

The previous prime is 6005427017. The next prime is 6005427061. The reversal of 6005427043 is 3407245006.

It is a de Polignac number, because none of the positive numbers 2k-6005427043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 6005426996 and 6005427014.

It is not an unprimeable number, because it can be changed into a prime (6005427073) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8566593 + ... + 8567293.

It is an arithmetic number, because the mean of its divisors is an integer number (125483904).

Almost surely, 26005427043 is an apocalyptic number.

6005427043 is a deficient number, since it is larger than the sum of its proper divisors (2025542813).

6005427043 is a wasteful number, since it uses less digits than its factorization.

6005427043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884.

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 6005427043 is about 77494.6904181183. The cubic root of 6005427043 is about 1817.6682939318.

The spelling of 6005427043 in words is "six billion, five million, four hundred twenty-seven thousand, forty-three".

Divisors: 1 7 11 31 37 77 97 217 259 341 407 679 701 1067 1147 2387 2849 3007 3589 4907 7469 7711 8029 12617 21049 21731 25123 25937 33077 39479 53977 67997 88319 111259 152117 181559 231539 239041 276353 285307 475979 747967 778813 804047 1223849 1673287 1997149 2107907 2515889 5235769 5628329 8566943 8844517 14755349 17611223 23186977 27674779 61911619 77992559 162308839 193723453 545947913 857918149 6005427043