Search a number
-
+
5656553364 = 22371119333167
BaseRepresentation
bin1010100010010100…
…00010011110010100
3112121012210200110110
411101022002132110
543041034201424
62333143323020
7260113624140
oct52112023624
915535720413
105656553364
112442a822a0
12111a450470
136c1b986c7
143b936a220
152318e5c29
hex151282794

5656553364 has 96 divisors (see below), whose sum is σ = 16469139456. Its totient is φ = 1468010880.

The previous prime is 5656553341. The next prime is 5656553381. The reversal of 5656553364 is 4633556565.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1784509 + ... + 1787675.

It is an arithmetic number, because the mean of its divisors is an integer number (171553536).

Almost surely, 25656553364 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 5656553364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234569728).

5656553364 is an abundant number, since it is smaller than the sum of its proper divisors (10812586092).

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

5656553364 is a wasteful number, since it uses less digits than its factorization.

5656553364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5123 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 48.

The square root of 5656553364 is about 75210.0615875296. The cubic root of 5656553364 is about 1781.7658447234.

The spelling of 5656553364 in words is "five billion, six hundred fifty-six million, five hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1933 3167 3866 5799 6334 7732 9501 11598 12668 13531 19002 21263 22169 23196 27062 34837 38004 40593 42526 44338 54124 63789 66507 69674 81186 85052 88676 104511 127578 133014 139348 148841 162372 209022 243859 255156 266028 297682 418044 446523 487718 595364 731577 893046 975436 1463154 1786092 2926308 6121811 12243622 18365433 24487244 36730866 42852677 67339921 73461732 85705354 128558031 134679842 171410708 202019763 257116062 269359684 404039526 471379447 514232124 808079052 942758894 1414138341 1885517788 2828276682 5656553364