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5526406016 = 27731274657
BaseRepresentation
bin1010010010110011…
…00100001110000000
3112021010220111212022
411021121210032000
542304224443031
62312214021012
7253643450615
oct51131441600
915233814768
105526406016
11238656a6aa
1210a2947768
136a0c2ab41
143a5d6c50c
1522528897b
hex149664380

5526406016 has 64 divisors (see below), whose sum is σ = 11250746880. Its totient is φ = 2703310848.

The previous prime is 5526406003. The next prime is 5526406037. The reversal of 5526406016 is 6106046255.

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

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, 1184360 + ... + 1189016.

It is an arithmetic number, because the mean of its divisors is an integer number (175792920).

Almost surely, 25526406016 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 5526406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625373440).

5526406016 is an abundant number, since it is smaller than the sum of its proper divisors (5724340864).

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

5526406016 is a wasteful number, since it uses less digits than its factorization.

5526406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 5526406016 is about 74339.8010220635. The cubic root of 5526406016 is about 1767.9945810389.

The spelling of 5526406016 in words is "five billion, five hundred twenty-six million, four hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 73 127 128 146 254 292 508 584 1016 1168 2032 2336 4064 4657 4672 8128 9271 9314 9344 16256 18542 18628 37084 37256 74168 74512 148336 149024 296672 298048 339961 591439 593344 596096 679922 1182878 1186688 1359844 2365756 2719688 4731512 5439376 9463024 10878752 18926048 21757504 37852096 43175047 43515008 75704192 86350094 172700188 345400376 690800752 1381601504 2763203008 5526406016