Search a number
-
+
5166457344 = 2934124577
BaseRepresentation
bin1001100111111000…
…11110001000000000
3111100001121020010000
410303330132020000
541040103113334
62212355040000
7242013106566
oct46374361000
914301536100
105166457344
11221136a964
1210022a0000
136444a0569
14370231a36
15203887299
hex133f1e200

5166457344 has 100 divisors (see below), whose sum is σ = 15420638574. Its totient is φ = 1722138624.

The previous prime is 5166457327. The next prime is 5166457357. The reversal of 5166457344 is 4437546615.

5166457344 is a `hidden beast` number, since 5 + 16 + 64 + 573 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3710271744 + 1456185600 = 60912^2 + 38160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5166457344.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20817 + ... + 103760.

Almost surely, 25166457344 is an apocalyptic number.

5166457344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5166457344 is an abundant number, since it is smaller than the sum of its proper divisors (10254181230).

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

5166457344 is an equidigital number, since it uses as much as digits as its factorization.

5166457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124607 (or 124582 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5166457344 is about 71878.0727621435. The cubic root of 5166457344 is about 1728.7450490869.

The spelling of 5166457344 in words is "five billion, one hundred sixty-six million, four hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 124577 249154 373731 498308 747462 996616 1121193 1494924 1993232 2242386 2989848 3363579 3986464 4484772 5979696 6727158 7972928 8969544 10090737 11959392 13454316 15945856 17939088 20181474 23918784 26908632 31891712 35878176 40362948 47837568 53817264 63783424 71756352 80725896 95675136 107634528 143512704 161451792 191350272 215269056 287025408 322903584 430538112 574050816 645807168 861076224 1291614336 1722152448 2583228672 5166457344