Search a number
-
+
2740493803110 = 2357172659288697
BaseRepresentation
bin100111111000010010001…
…010001101111001100110
3100200222200201120120201120
4213320102022031321212
5324400012403144420
65454544313034410
7401664663656430
oct47702212157146
910628621516646
102740493803110
11967267342068
123831619b5a06
1316b57317914b
14968d7b83650
154b4470add40
hex27e1228de66

2740493803110 has 128 divisors (see below), whose sum is σ = 7961967498240. Its totient is φ = 589327847424.

The previous prime is 2740493803087. The next prime is 2740493803139. The reversal of 2740493803110 is 113083940472.

2740493803110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27404938031102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9348282 + ... + 9636978.

It is an arithmetic number, because the mean of its divisors is an integer number (62202871080).

Almost surely, 22740493803110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740493803110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980983749120).

2740493803110 is an abundant number, since it is smaller than the sum of its proper divisors (5221473695130).

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

2740493803110 is a wasteful number, since it uses less digits than its factorization.

2740493803110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291390.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 2740493803110 in words is "two trillion, seven hundred forty billion, four hundred ninety-three million, eight hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 2659 3570 5318 7977 13295 15954 18613 26590 37226 39885 45203 55839 79770 90406 93065 111678 135609 186130 226015 271218 279195 288697 316421 452030 558390 577394 632842 678045 866091 949263 1356090 1443485 1582105 1732182 1898526 2020879 2886970 3164210 4041758 4330455 4746315 4907849 6062637 8660910 9492630 9815698 10104395 12125274 14723547 20208790 24539245 29447094 30313185 34354943 49078490 60626370 68709886 73617735 103064829 147235470 171774715 206129658 343549430 515324145 767645323 1030648290 1535290646 2302935969 3838226615 4605871938 5373517261 7676453230 10747034522 11514679845 13049970491 16120551783 23029359690 26099940982 26867586305 32241103566 39149911473 53735172610 65249852455 78299822946 80602758915 91349793437 130499704910 161205517830 182699586874 195749557365 274049380311 391499114730 456748967185 548098760622 913497934370 1370246901555 2740493803110