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8668945152 = 283272312477
BaseRepresentation
bin10000001001011010…
…11001101100000000
3211101011011001010200
420010231121230000
5120223222221102
63552113325200
7424552550400
oct100455315400
924334131120
108668945152
11374943688a
12181b266800
13a81ccb35a
145c347a800
1535b0d651c
hex204b59b00

8668945152 has 324 divisors, whose sum is σ = 30025509696. Its totient is φ = 2395975680.

The previous prime is 8668945151. The next prime is 8668945171. The reversal of 8668945152 is 2515498668.

8668945152 is a `hidden beast` number, since 8 + 66 + 89 + 451 + 52 = 666.

It is a super-2 number, since 2×86689451522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8668945151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3498538 + ... + 3501014.

Almost surely, 28668945152 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 8668945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012754848).

8668945152 is an abundant number, since it is smaller than the sum of its proper divisors (21356564544).

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

8668945152 is a wasteful number, since it uses less digits than its factorization.

8668945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2520 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 8668945152 is about 93107.1702502015. The cubic root of 8668945152 is about 2054.2600408336.

It can be divided in two parts, 86689 and 45152, that added together give a triangular number (131841 = T513).

The spelling of 8668945152 in words is "eight billion, six hundred sixty-eight million, nine hundred forty-five thousand, one hundred fifty-two".