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8686708572672 = 2938131711701
BaseRepresentation
bin111111001101000100000…
…1011011100001000000000
31010202102220122201100000000
41332122020023130020000
52114310334343311142
630250341400000000
71554410510401614
oct176321013341000
933672818640000
108686708572672
11284a015588849
12b83661160000
134b01cb4a35b0
14220620637344
15100e6420214c
hex7e6882dc200

8686708572672 has 720 divisors, whose sum is σ = 29687628042072. Its totient is φ = 2515392921600.

The previous prime is 8686708572667. The next prime is 8686708572673. The reversal of 8686708572672 is 2762758076868.

It can be written as a sum of positive squares in 4 ways, for example, as 7974885632256 + 711822940416 = 2823984^2 + 843696^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8686708572672.

It is not an unprimeable number, because it can be changed into a prime (8686708572673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 742384422 + ... + 742396122.

Almost surely, 28686708572672 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 8686708572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843814021036).

8686708572672 is an abundant number, since it is smaller than the sum of its proper divisors (21000919469400).

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

8686708572672 is an equidigital number, since it uses as much as digits as its factorization.

8686708572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773 (or 11736 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 8686708572672 in words is "eight trillion, six hundred eighty-six billion, seven hundred eight million, five hundred seventy-two thousand, six hundred seventy-two".