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6731146940 = 22571716317351
BaseRepresentation
bin1100100010011010…
…10010011010111100
3122101002211200201112
412101031102122330
5102241133200230
63031531501152
7325542543050
oct62115223274
918332750645
106731146940
112944614361
12137a2b77b8
138336c21ab
1447bd73c60
15295e0dd95
hex1913526bc

6731146940 has 96 divisors (see below), whose sum is σ = 17210962944. Its totient is φ = 2158617600.

The previous prime is 6731146909. The next prime is 6731146951. The reversal of 6731146940 is 496411376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379265 + ... + 396615.

It is an arithmetic number, because the mean of its divisors is an integer number (179280864).

Almost surely, 26731146940 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 6731146940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605481472).

6731146940 is an abundant number, since it is smaller than the sum of its proper divisors (10479816004).

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

6731146940 is a wasteful number, since it uses less digits than its factorization.

6731146940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17547 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 6731146940 is about 82043.5673285846. The cubic root of 6731146940 is about 1888.1204254885.

The spelling of 6731146940 in words is "six billion, seven hundred thirty-one million, one hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 163 170 238 326 340 476 595 652 815 1141 1190 1630 2282 2380 2771 3260 4564 5542 5705 11084 11410 13855 17351 19397 22820 27710 34702 38794 55420 69404 77588 86755 96985 121457 173510 193970 242914 294967 347020 387940 485828 589934 607285 1179868 1214570 1474835 2064769 2429140 2828213 2949670 4129538 5656426 5899340 8259076 10323845 11312852 14141065 19797491 20647690 28282130 39594982 41295380 48079621 56564260 79189964 96159242 98987455 192318484 197974910 240398105 336557347 395949820 480796210 673114694 961592420 1346229388 1682786735 3365573470 6731146940