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6742901412 = 223213192692819
BaseRepresentation
bin1100100011110100…
…01000001010100100
3122101220221212211100
412101322020022210
5102302140321122
63033031440100
7326044500462
oct62172101244
918356855740
106742901412
1129502126a5
121382226030
13835c794c0
1447d753832
15296e81aac
hex191e882a4

6742901412 has 144 divisors (see below), whose sum is σ = 19400472000. Its totient is φ = 1957540608.

The previous prime is 6742901411. The next prime is 6742901479. The reversal of 6742901412 is 2141092476.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6742901411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390539 + ... + 2393357.

It is an arithmetic number, because the mean of its divisors is an integer number (134725500).

Almost surely, 26742901412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6742901412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9700236000).

6742901412 is an abundant number, since it is smaller than the sum of its proper divisors (12657570588).

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

6742901412 is a wasteful number, since it uses less digits than its factorization.

6742901412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6742901412 is about 82115.1716310695. The cubic root of 6742901412 is about 1889.2188491048.

Adding to 6742901412 its reverse (2141092476), we get a palindrome (8883993888).

The spelling of 6742901412 in words is "six billion, seven hundred forty-two million, nine hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 269 342 468 494 538 684 741 807 988 1076 1482 1614 2223 2421 2819 2964 3228 3497 4446 4842 5111 5638 6994 8457 8892 9684 10222 10491 11276 13988 15333 16914 20444 20982 25371 30666 31473 33828 36647 41964 45999 50742 53561 61332 62946 66443 73294 91998 101484 107122 109941 125892 132886 146588 160683 183996 199329 214244 219882 265772 321366 329823 398658 439764 482049 597987 642732 659646 696293 758311 797316 964098 1195974 1319292 1392586 1516622 1928196 2088879 2274933 2391948 2785172 3033244 4177758 4549866 6266637 6824799 8355516 9099732 9858043 12533274 13649598 14407909 19716086 25066548 27299196 28815818 29574129 39432172 43223727 57631636 59148258 86447454 88722387 118296516 129671181 172894908 177444774 187302817 259342362 354889548 374605634 518684724 561908451 749211268 1123816902 1685725353 2247633804 3371450706 6742901412