Search a number
-
+
6945220746 = 234195574051
BaseRepresentation
bin1100111011111011…
…11010100010001010
3122221000122202210000
412131331322202022
5103210434030441
63105100103430
7334052254662
oct63575724212
918830582700
106945220746
112a4443a162
121419b34b76
13868b66399
1449c57b1a2
152a9ae82b6
hex19df7a88a

6945220746 has 80 divisors (see below), whose sum is σ = 16414976160. Its totient is φ = 2188749600.

The previous prime is 6945220741. The next prime is 6945220757. The reversal of 6945220746 is 6470225496.

It is not an unprimeable number, because it can be changed into a prime (6945220741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1712421 + ... + 1716471.

It is an arithmetic number, because the mean of its divisors is an integer number (205187202).

Almost surely, 26945220746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6945220746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207488080).

6945220746 is an abundant number, since it is smaller than the sum of its proper divisors (9469755414).

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

6945220746 is a wasteful number, since it uses less digits than its factorization.

6945220746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6945220746 is about 83337.9910125028. The cubic root of 6945220746 is about 1907.9281597491.

The spelling of 6945220746 in words is "six billion, nine hundred forty-five million, two hundred twenty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 557 1026 1114 1539 1671 3078 3342 4051 5013 8102 10026 10583 12153 15039 21166 24306 30078 31749 36459 45117 63498 72918 76969 90234 95247 109377 153938 190494 218754 230907 285741 328131 461814 571482 656262 692721 857223 1385442 1714446 2078163 2256407 4156326 4512814 6234489 6769221 12468978 13538442 20307663 40615326 42871733 60922989 85743466 121845978 128615199 182768967 257230398 365537934 385845597 771691194 1157536791 2315073582 3472610373 6945220746