Search a number
-
+
6754540914 = 2341113032909
BaseRepresentation
bin1100100101001101…
…00001110101110010
3122102201212020020000
412102212201311302
5102313130302124
63034125130430
7326245436052
oct62246416562
918381766200
106754540914
112956842620
1213860b9a16
138384c3394
14481103562
15297ed06c9
hex1929a1d72

6754540914 has 80 divisors (see below), whose sum is σ = 16529451840. Its totient is φ = 2044556640.

The previous prime is 6754540811. The next prime is 6754540967. The reversal of 6754540914 is 4190454576.

6754540914 is a `hidden beast` number, since 67 + 545 + 40 + 9 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6754540914.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2320492 + ... + 2323400.

It is an arithmetic number, because the mean of its divisors is an integer number (206618148).

Almost surely, 26754540914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6754540914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264725920).

6754540914 is an abundant number, since it is smaller than the sum of its proper divisors (9774910926).

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

6754540914 is a wasteful number, since it uses less digits than its factorization.

6754540914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6754540914 is about 82186.0141021573. The cubic root of 6754540914 is about 1890.3052719296.

The spelling of 6754540914 in words is "six billion, seven hundred fifty-four million, five hundred forty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1303 1782 2606 2909 3909 5818 7818 8727 11727 14333 17454 23454 26181 28666 31999 35181 42999 52362 63998 70362 78543 85998 95997 105543 128997 157086 191994 211086 235629 257994 287991 386991 471258 575982 773982 863973 1160973 1727946 2321946 2591919 3790427 5183838 7580854 11371281 22742562 34113843 41694697 68227686 83389394 102341529 125084091 204683058 250168182 307024587 375252273 614049174 750504546 1125756819 2251513638 3377270457 6754540914