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5668086960 = 24325173111489
BaseRepresentation
bin1010100011101100…
…00010010010110000
3112122000111122120200
411101312002102300
543102012240320
62334234435200
7260313641604
oct52166022260
915560448520
105668086960
11244953a698
121122292b00
136c43a6313
143baacd504
15232923290
hex151d824b0

5668086960 has 240 divisors, whose sum is σ = 20233437120. Its totient is φ = 1417052160.

The previous prime is 5668086959. The next prime is 5668086967. The reversal of 5668086960 is 696808665.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×56680869602 = 64254419572244083200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5668086897 and 5668086906.

It is not an unprimeable number, because it can be changed into a prime (5668086967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3805896 + ... + 3807384.

It is an arithmetic number, because the mean of its divisors is an integer number (84305988).

Almost surely, 25668086960 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 5668086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116718560).

5668086960 is an abundant number, since it is smaller than the sum of its proper divisors (14565350160).

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

5668086960 is a wasteful number, since it uses less digits than its factorization.

5668086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 5668086960 is about 75286.6984267473. The cubic root of 5668086960 is about 1782.9760172305.

The spelling of 5668086960 in words is "five billion, six hundred sixty-eight million, eighty-six thousand, nine hundred sixty".