Search a number
-
+
6774491856 = 243113107991
BaseRepresentation
bin1100100111100101…
…01000101011010000
3122111010101211202210
412103302220223100
5102333232214411
63040120512120
7326610142056
oct62362505320
918433354683
106774491856
11296702a000
12139091b640
1383c68a382
14483a181d6
15299b21ca6
hex193ca8ad0

6774491856 has 160 divisors (see below), whose sum is σ = 19449040896. Its totient is φ = 2031638400.

The previous prime is 6774491851. The next prime is 6774491861. The reversal of 6774491856 is 6581944776.

It is an interprime number because it is at equal distance from previous prime (6774491851) and next prime (6774491861).

It is a junction number, because it is equal to n+sod(n) for n = 6774491796 and 6774491805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774491851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6835521 + ... + 6836511.

Almost surely, 26774491856 is an apocalyptic number.

6774491856 is a gapful number since it is divisible by the number (66) 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 6774491856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9724520448).

6774491856 is an abundant number, since it is smaller than the sum of its proper divisors (12674549040).

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

6774491856 is a wasteful number, since it uses less digits than its factorization.

6774491856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1114 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 6774491856 is about 82307.3013529177. The cubic root of 6774491856 is about 1892.1645791573.

The spelling of 6774491856 in words is "six billion, seven hundred seventy-four million, four hundred ninety-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 121 132 176 214 242 264 321 363 428 484 528 642 726 856 968 991 1177 1284 1331 1452 1712 1936 1982 2354 2568 2662 2904 2973 3531 3964 3993 4708 5136 5324 5808 5946 7062 7928 7986 9416 10648 10901 11892 12947 14124 15856 15972 18832 21296 21802 23784 25894 28248 31944 32703 38841 43604 47568 51788 56496 63888 65406 77682 87208 103576 106037 119911 130812 142417 155364 174416 207152 212074 239822 261624 284834 310728 318111 359733 424148 427251 479644 523248 569668 621456 636222 719466 848296 854502 959288 1139336 1166407 1272444 1319021 1438932 1696592 1709004 1918576 2278672 2332814 2544888 2638042 2877864 3418008 3499221 3957063 4665628 5089776 5276084 5755728 6836016 6998442 7914126 9331256 10552168 12830477 13996884 15828252 18662512 21104336 25660954 27993768 31656504 38491431 51321908 55987536 63313008 76982862 102643816 141135247 153965724 205287632 282270494 307931448 423405741 564540988 615862896 846811482 1129081976 1693622964 2258163952 3387245928 6774491856