Search a number
-
+
5129832768 = 263791272663
BaseRepresentation
bin1001100011100001…
…10000100101000000
3111020111200111122020
410301300300211000
541001214122033
62205010041440
7241056600444
oct46160604500
914214614566
105129832768
1121a2725315
12bb1b79280
13639a19208
1436941a824
152005506b3
hex131c30940

5129832768 has 112 divisors (see below), whose sum is σ = 13857914880. Its totient is φ = 1674376704.

The previous prime is 5129832767. The next prime is 5129832779. The reversal of 5129832768 is 8672389215.

It is a self number, because there is not a number n which added to its sum of digits gives 5129832768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129832767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1925005 + ... + 1927667.

Almost surely, 25129832768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5129832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928957440).

5129832768 is an abundant number, since it is smaller than the sum of its proper divisors (8728082112).

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

5129832768 is a wasteful number, since it uses less digits than its factorization.

5129832768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 5129832768 is about 71622.8508787524. The cubic root of 5129832768 is about 1724.6503827477.

The spelling of 5129832768 in words is "five billion, one hundred twenty-nine million, eight hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 127 158 192 237 254 316 381 474 508 632 762 948 1016 1264 1524 1896 2032 2528 2663 3048 3792 4064 5056 5326 6096 7584 7989 8128 10033 10652 12192 15168 15978 20066 21304 24384 30099 31956 40132 42608 60198 63912 80264 85216 120396 127824 160528 170432 210377 240792 255648 321056 338201 420754 481584 511296 631131 642112 676402 841508 963168 1014603 1262262 1352804 1683016 1926336 2029206 2524524 2705608 3366032 4058412 5049048 5411216 6732064 8116824 10098096 10822432 13464128 16233648 20196192 21644864 26717879 32467296 40392384 53435758 64934592 80153637 106871516 160307274 213743032 320614548 427486064 641229096 854972128 1282458192 1709944256 2564916384 5129832768