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5664523410 = 2325713283641
BaseRepresentation
bin1010100011010000…
…11100010010010010
3112121202210121022100
411101220130102102
543100104222120
62334030221230
7260241440340
oct52150342222
915552717270
105664523410
112447526307
121121054816
136c3729300
143ba442990
1523246c490
hex151a1c492

5664523410 has 288 divisors, whose sum is σ = 18474438528. Its totient is φ = 1178910720.

The previous prime is 5664523373. The next prime is 5664523427. The reversal of 5664523410 is 143254665.

5664523410 is a `hidden beast` number, since 5 + 6 + 645 + 2 + 3 + 4 + 1 + 0 = 666.

It is a Curzon 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 143 ways as a sum of consecutive naturals, for example, 8836690 + ... + 8837330.

It is an arithmetic number, because the mean of its divisors is an integer number (64147356).

Almost surely, 25664523410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664523410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9237219264).

5664523410 is an abundant number, since it is smaller than the sum of its proper divisors (12809915118).

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

5664523410 is a wasteful number, since it uses less digits than its factorization.

5664523410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5664523410 is about 75263.0281745294. The cubic root of 5664523410 is about 1782.6022840683.

The spelling of 5664523410 in words is "five billion, six hundred sixty-four million, five hundred twenty-three thousand, four hundred ten".