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6894736940 = 2257132433673
BaseRepresentation
bin1100110101111010…
…10101011000101100
3122210111122221000102
412122331111120230
5103110023040230
63100054050232
7332600203610
oct63275253054
918714587012
106894736940
112a18998a03
121405049978
1385b56ba00
14495999340
152a5475045
hex19af5562c

6894736940 has 144 divisors (see below), whose sum is σ = 17986223808. Its totient is φ = 2173796352.

The previous prime is 6894736897. The next prime is 6894736943. The reversal of 6894736940 is 496374986.

It is not an unprimeable number, because it can be changed into a prime (6894736943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10244444 + ... + 10245116.

It is an arithmetic number, because the mean of its divisors is an integer number (124904332).

Almost surely, 26894736940 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 6894736940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993111904).

6894736940 is an abundant number, since it is smaller than the sum of its proper divisors (11091486868).

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

6894736940 is a wasteful number, since it uses less digits than its factorization.

6894736940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The square root of 6894736940 is about 83034.5526874204. The cubic root of 6894736940 is about 1903.2940954005.

The spelling of 6894736940 in words is "six billion, eight hundred ninety-four million, seven hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 433 455 673 676 845 866 910 1183 1346 1690 1732 1820 2165 2366 2692 3031 3365 3380 4330 4711 4732 5629 5915 6062 6730 8660 8749 9422 11258 11830 12124 13460 15155 17498 18844 22516 23555 23660 28145 30310 34996 39403 43745 47110 56290 60620 61243 73177 78806 87490 94220 112580 113737 122486 146354 157612 174980 197015 227474 244972 291409 292708 306215 365885 394030 454948 512239 568685 582818 612430 731770 788060 796159 1024478 1137370 1165636 1224860 1457045 1463540 1592318 2039863 2048956 2274740 2561195 2914090 3184636 3788317 3980795 4079726 5122390 5828180 7576634 7961590 8159452 10199315 10244780 15153268 15923180 18941585 20398630 26518219 37883170 40797260 49248121 53036438 75766340 98496242 106072876 132591095 196992484 246240605 265182190 344736847 492481210 530364380 689473694 984962420 1378947388 1723684235 3447368470 6894736940