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5676466224 = 2431121375181
BaseRepresentation
bin1010100100101100…
…00000000000110000
3112122121021100202210
411102112000000300
543111133404344
62335134212120
7260445111132
oct52226000060
915577240683
105676466224
112453243100
121125054040
136c604b270
143bbc71052
1523352adb9
hex152580030

5676466224 has 120 divisors (see below), whose sum is σ = 17358621616. Its totient is φ = 1587801600.

The previous prime is 5676466223. The next prime is 5676466231. The reversal of 5676466224 is 4226646765.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5676466223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37914 + ... + 113094.

Almost surely, 25676466224 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 5676466224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679310808).

5676466224 is an abundant number, since it is smaller than the sum of its proper divisors (11682155392).

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

5676466224 is a wasteful number, since it uses less digits than its factorization.

5676466224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75227 (or 75210 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The square root of 5676466224 is about 75342.3269085844. The cubic root of 5676466224 is about 1783.8541895214.

The spelling of 5676466224 in words is "five billion, six hundred seventy-six million, four hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1144 1452 1573 1716 1936 2288 2904 3146 3432 4719 5808 6292 6864 9438 12584 18876 25168 37752 75181 75504 150362 225543 300724 451086 601448 826991 902172 977353 1202896 1653982 1804344 1954706 2480973 2932059 3307964 3608688 3909412 4961946 5864118 6615928 7818824 9096901 9923892 10750883 11728236 13231856 15637648 18193802 19847784 21501766 23456472 27290703 32252649 36387604 39695568 43003532 46912944 54581406 64505298 72775208 86007064 109162812 118259713 129010596 145550416 172014128 218325624 236519426 258021192 354779139 436651248 473038852 516042384 709558278 946077704 1419116556 1892155408 2838233112 5676466224