Search a number
-
+
6701040470070 = 23251927071447631
BaseRepresentation
bin110000110000011010100…
…1000110000100000110110
3212201121120000212022020200
41201200311020300200312
51334242212330020240
622130225425141330
71261064013122142
oct141406510604066
925647500768220
106701040470070
112153993716671
12902858a8a846
13397ba02366ab
14192491378222
15b9499567930
hex61835230836

6701040470070 has 96 divisors (see below), whose sum is σ = 18346477294080. Its totient is φ = 1692267888960.

The previous prime is 6701040470063. The next prime is 6701040470093. The reversal of 6701040470070 is 700740401076.

6701040470070 is a `hidden beast` number, since 6 + 70 + 10 + 40 + 470 + 0 + 70 = 666.

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, 3905155 + ... + 5352785.

It is an arithmetic number, because the mean of its divisors is an integer number (191109138480).

Almost surely, 26701040470070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6701040470070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173238647040).

6701040470070 is an abundant number, since it is smaller than the sum of its proper divisors (11645436824010).

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

6701040470070 is a wasteful number, since it uses less digits than its factorization.

6701040470070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450370 (or 1450367 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 6701040470070 in words is "six trillion, seven hundred one billion, forty million, four hundred seventy thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2707 5414 8121 13535 16242 24363 27070 40605 48726 51433 81210 102866 121815 154299 243630 257165 308598 462897 514330 771495 925794 1447631 1542990 2314485 2895262 4342893 4628970 7238155 8685786 13028679 14476310 21714465 26057358 27504989 43428930 55009978 65143395 82514967 130286790 137524945 165029934 247544901 275049890 412574835 495089802 825149670 1237724505 2475449010 3918737117 7837474234 11756211351 19593685585 23512422702 35268634053 39187371170 58781056755 70537268106 74456005223 117562113510 148912010446 176343170265 223368015669 352686340530 372280026115 446736031338 670104047007 744560052230 1116840078345 1340208094014 2233680156690 3350520235035 6701040470070