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6742954740 = 2235372103797
BaseRepresentation
bin1100100011110100…
…10101001011110100
3122101221001120222110
412101322111023310
5102302144022430
63033032531020
7326045112114
oct62172251364
918357046873
106742954740
112950249775
121382250a70
13835c97862
1447d769044
15296e927b0
hex191e952f4

6742954740 has 144 divisors (see below), whose sum is σ = 19617316992. Its totient is φ = 1730363904.

The previous prime is 6742954723. The next prime is 6742954759. The reversal of 6742954740 is 474592476.

It is a self number, because there is not a number n which added to its sum of digits gives 6742954740.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8460022 + ... + 8460818.

It is an arithmetic number, because the mean of its divisors is an integer number (136231368).

Almost surely, 26742954740 is an apocalyptic number.

6742954740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6742954740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9808658496).

6742954740 is an abundant number, since it is smaller than the sum of its proper divisors (12874362252).

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

6742954740 is a wasteful number, since it uses less digits than its factorization.

6742954740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 6742954740 is about 82115.4963450870. The cubic root of 6742954740 is about 1889.2238295521.

The spelling of 6742954740 in words is "six billion, seven hundred forty-two million, nine hundred fifty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 103 111 148 185 206 222 309 370 412 444 515 555 618 740 797 1030 1110 1236 1369 1545 1594 2060 2220 2391 2738 3090 3188 3811 3985 4107 4782 5476 6180 6845 7622 7970 8214 9564 11433 11955 13690 15244 15940 16428 19055 20535 22866 23910 27380 29489 38110 41070 45732 47820 57165 58978 76220 82091 82140 88467 114330 117956 141007 147445 164182 176934 228660 246273 282014 294890 328364 353868 410455 423021 442335 492546 564028 589780 705035 820910 846042 884670 985092 1091093 1231365 1410070 1641820 1692084 1769340 2115105 2182186 2462730 2820140 3037367 3273279 4230210 4364372 4925460 5455465 6074734 6546558 8460420 9112101 10910930 12149468 13093116 15186835 16366395 18224202 21821860 30373670 32732790 36448404 45560505 60747340 65465580 91121010 112382579 182242020 224765158 337147737 449530316 561912895 674295474 1123825790 1348590948 1685738685 2247651580 3371477370 6742954740