Search a number
-
+
5405847776 = 257219296257
BaseRepresentation
bin1010000100011011…
…01011000011100000
3111221202001112001022
411002031223003200
542032344112101
62252230025012
7250650643100
oct50215530340
914852045038
105405847776
11232450749a
12106a4a8168
13681c69ac4
14393d49200
152198c2a1b
hex14236b0e0

5405847776 has 144 divisors (see below), whose sum is σ = 13483486800. Its totient is φ = 2118832128.

The previous prime is 5405847773. The next prime is 5405847779. The reversal of 5405847776 is 6777485045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5405847773) and next prime (5405847779).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405847773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860840 + ... + 867096.

It is an arithmetic number, because the mean of its divisors is an integer number (93635325).

Almost surely, 25405847776 is an apocalyptic number.

5405847776 is a gapful number since it is divisible by the number (56) 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 5405847776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741743400).

5405847776 is an abundant number, since it is smaller than the sum of its proper divisors (8077639024).

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

5405847776 is a wasteful number, since it uses less digits than its factorization.

5405847776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 53.

The square root of 5405847776 is about 73524.4705931297. The cubic root of 5405847776 is about 1755.0437107859.

The spelling of 5405847776 in words is "five billion, four hundred five million, eight hundred forty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 49 56 58 76 98 112 116 133 152 196 203 224 232 266 304 392 406 464 532 551 608 784 812 928 931 1064 1102 1421 1568 1624 1862 2128 2204 2842 3248 3724 3857 4256 4408 5684 6257 6496 7448 7714 8816 11368 12514 14896 15428 17632 22736 25028 26999 29792 30856 43799 45472 50056 53998 61712 87598 100112 107996 118883 123424 175196 181453 200224 215992 237766 306593 350392 362906 431984 475532 613186 700784 725812 832181 863968 951064 1226372 1270171 1401568 1451624 1664362 1902128 2452744 2540342 2903248 3328724 3447607 3804256 4905488 5080684 5806496 5825267 6657448 6895214 8891197 9810976 10161368 11650534 13314896 13790428 17782394 20322736 23301068 24133249 26629792 27580856 35564788 40645472 46602136 48266498 55161712 71129576 93204272 96532996 110323424 142259152 168932743 186408544 193065992 284518304 337865486 386131984 675730972 772263968 1351461944 2702923888 5405847776