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5601131568 = 24321071133217
BaseRepresentation
bin1010011011101101…
…00111110000110000
3112110100111222001100
411031312213300300
542432342202233
62323443404400
7255541555434
oct51566476060
915410458040
105601131568
11241476905a
121103983700
136b3562546
143b1c609c4
1522bae9813
hex14dda7c30

5601131568 has 120 divisors (see below), whose sum is σ = 15966866448. Its totient is φ = 1832656896.

The previous prime is 5601131537. The next prime is 5601131573. The reversal of 5601131568 is 8651311065.

5601131568 is a `hidden beast` number, since 5 + 60 + 1 + 1 + 31 + 568 = 666.

It is a super-2 number, since 2×56011315682 = 62745349684092277248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739496 + ... + 1742712.

Almost surely, 25601131568 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 5601131568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983433224).

5601131568 is an abundant number, since it is smaller than the sum of its proper divisors (10365734880).

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

5601131568 is a wasteful number, since it uses less digits than its factorization.

5601131568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5601131568 is about 74840.7079603073. The cubic root of 5601131568 is about 1775.9276054006.

The spelling of 5601131568 in words is "five billion, six hundred one million, one hundred thirty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 113 144 214 226 321 339 428 452 642 678 856 904 963 1017 1284 1356 1712 1808 1926 2034 2568 2712 3217 3852 4068 5136 5424 6434 7704 8136 9651 12091 12868 15408 16272 19302 24182 25736 28953 36273 38604 48364 51472 57906 72546 77208 96728 108819 115812 145092 154416 193456 217638 231624 290184 344219 363521 435276 463248 580368 688438 727042 870552 1032657 1090563 1376876 1454084 1741104 2065314 2181126 2753752 2908168 3097971 3271689 4130628 4362252 5507504 5816336 6195942 6543378 8261256 8724504 12391884 13086756 16522512 17449008 24783768 26173512 38896747 49567536 52347024 77793494 116690241 155586988 233380482 311173976 350070723 466760964 622347952 700141446 933521928 1400282892 1867043856 2800565784 5601131568