Search a number
-
+
6124066731 = 3271131149491
BaseRepresentation
bin1011011010000010…
…11101011110101011
3120210210111211020100
411231001131132223
5100020230113411
62451404000443
7304521464646
oct55501353653
916723454210
106124066731
11266296aa82
12122ab30123
137679b7a33
144214a6a5d
1525c993456
hex16d05d7ab

6124066731 has 48 divisors (see below), whose sum is σ = 9118137600. Its totient is φ = 3959592000.

The previous prime is 6124066717. The next prime is 6124066769. The reversal of 6124066731 is 1376604216.

It is a happy number.

6124066731 is a `hidden beast` number, since 612 + 4 + 0 + 6 + 6 + 7 + 31 = 666.

It is not a de Polignac number, because 6124066731 - 25 = 6124066699 is a prime.

It is a super-2 number, since 2×61240667312 = 75008386651482052722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6124066331) 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 47 ways as a sum of consecutive naturals, for example, 12472396 + ... + 12472886.

It is an arithmetic number, because the mean of its divisors is an integer number (189961200).

Almost surely, 26124066731 is an apocalyptic number.

6124066731 is a deficient number, since it is larger than the sum of its proper divisors (2994070869).

6124066731 is a wasteful number, since it uses less digits than its factorization.

6124066731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6124066731 is about 78256.4165484211. The cubic root of 6124066731 is about 1829.5599219489.

The spelling of 6124066731 in words is "six billion, one hundred twenty-four million, sixty-six thousand, seven hundred thirty-one".

Divisors: 1 3 9 71 131 149 213 393 447 491 639 1179 1341 1473 4419 9301 10579 19519 27903 31737 34861 58557 64321 73159 83709 95211 104583 175671 192963 219477 313749 578889 658431 1385849 4157547 4566791 5194289 9583829 12472641 13700373 15582867 28751487 41101119 46748601 86254461 680451859 2041355577 6124066731