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5776878464 = 27712750767
BaseRepresentation
bin1010110000101010…
…00010101110000000
3112220121012211110122
411120111002232000
543312340102324
62353122315412
7263104441160
oct53025025600
915817184418
105776878464
1124a4996325
1211527b8b68
13710aa75a6
143cb32c5a0
1523c262a5e
hex158542b80

5776878464 has 64 divisors (see below), whose sum is σ = 13256540160. Its totient is φ = 2456262144.

The previous prime is 5776878403. The next prime is 5776878493. The reversal of 5776878464 is 4648786775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5776878397 and 5776878406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88409 + ... + 139175.

It is an arithmetic number, because the mean of its divisors is an integer number (207133440).

Almost surely, 25776878464 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 5776878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628270080).

5776878464 is an abundant number, since it is smaller than the sum of its proper divisors (7479661696).

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

5776878464 is a wasteful number, since it uses less digits than its factorization.

5776878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50915 (or 50903 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 62.

The square root of 5776878464 is about 76005.7791486937. The cubic root of 5776878464 is about 1794.3110992508.

The spelling of 5776878464 in words is "five billion, seven hundred seventy-six million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 448 508 889 896 1016 1778 2032 3556 4064 7112 8128 14224 16256 28448 50767 56896 101534 113792 203068 355369 406136 710738 812272 1421476 1624544 2842952 3249088 5685904 6447409 6498176 11371808 12894818 22743616 25789636 45131863 45487232 51579272 90263726 103158544 180527452 206317088 361054904 412634176 722109808 825268352 1444219616 2888439232 5776878464