Search a number
-
+
5668326252 = 22321710978443
BaseRepresentation
bin1010100011101101…
…11100101101101100
3112122000221210211100
411101312330231230
543102042420002
62334243523100
7260315656341
oct52166745554
915560853740
105668326252
112449693456
121122389490
136c445b204
143bab527c8
1523296e11c
hex151dbcb6c

5668326252 has 72 divisors (see below), whose sum is σ = 15186736656. Its totient is φ = 1776466944.

The previous prime is 5668326211. The next prime is 5668326281. The reversal of 5668326252 is 2526238665.

5668326252 is a `hidden beast` number, since 566 + 8 + 32 + 6 + 2 + 52 = 666.

It is a super-2 number, since 2×56683262522 = 64259844998224735008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5668326198 and 5668326207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667143 + ... + 675585.

It is an arithmetic number, because the mean of its divisors is an integer number (210926898).

Almost surely, 25668326252 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 5668326252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593368328).

5668326252 is an abundant number, since it is smaller than the sum of its proper divisors (9518410404).

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

5668326252 is a wasteful number, since it uses less digits than its factorization.

5668326252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9567 (or 9562 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 5668326252 is about 75288.2876150069. The cubic root of 5668326252 is about 1783.0011077590.

The spelling of 5668326252 in words is "five billion, six hundred sixty-eight million, three hundred twenty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1097 2194 3291 4388 6582 8443 9873 13164 16886 18649 19746 25329 33772 37298 39492 50658 55947 74596 75987 101316 111894 143531 151974 167841 223788 287062 303948 335682 430593 574124 671364 861186 1291779 1722372 2583558 5167116 9261971 18523942 27785913 37047884 55571826 83357739 111143652 157453507 166715478 314907014 333430956 472360521 629814028 944721042 1417081563 1889442084 2834163126 5668326252