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6740667164 = 22721119592789
BaseRepresentation
bin1100100011100011…
…00110101100011100
3122101202202101000102
412101301212230130
5102301102322124
63032511520232
7326016503600
oct62161465434
918352671012
106740667164
112949a27010
121381529078
1383567656a
1447d331500
15296b8eaae
hex191c66b1c

6740667164 has 144 divisors (see below), whose sum is σ = 16030224000. Its totient is φ = 2444964480.

The previous prime is 6740667151. The next prime is 6740667217. The reversal of 6740667164 is 4617660476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2415482 + ... + 2418270.

It is an arithmetic number, because the mean of its divisors is an integer number (111321000).

Almost surely, 26740667164 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 6740667164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015112000).

6740667164 is an abundant number, since it is smaller than the sum of its proper divisors (9289556836).

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

6740667164 is a wasteful number, since it uses less digits than its factorization.

6740667164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The square root of 6740667164 is about 82101.5661482776. The cubic root of 6740667164 is about 1889.0101629884.

The spelling of 6740667164 in words is "six billion, seven hundred forty million, six hundred sixty-seven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 59 76 77 98 118 133 154 196 209 236 266 308 413 418 532 539 649 826 836 931 1078 1121 1298 1463 1652 1862 2156 2242 2596 2789 2891 2926 3724 4484 4543 5578 5782 5852 7847 9086 10241 11156 11564 12331 15694 18172 19523 20482 24662 30679 31388 31801 39046 40964 49324 52991 54929 61358 63602 78092 86317 105982 109858 122716 127204 136661 164551 172634 211964 214753 219716 273322 329102 345268 370937 429506 546644 582901 604219 658204 741874 859012 1151857 1165802 1208438 1483748 1503271 1810061 2303714 2331604 2416876 2596559 3006542 3126469 3620122 4080307 4607428 5193118 6013084 6252938 7240244 8062999 8160614 10386236 12505876 12670427 16125998 16321228 21885283 25340854 28562149 32251996 34391159 43770566 50681708 57124298 68782318 87541132 88692989 114248596 137564636 153196981 177385978 240738113 306393962 354771956 481476226 612787924 962952452 1685166791 3370333582 6740667164