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8064082400840 = 235370154472321
BaseRepresentation
bin111010101011001000011…
…0001000101011001001000
31001112220210202201122202122
41311112100301011121020
52024110220043311330
625052331024150412
71461416323303214
oct165262061053110
931486722648678
108064082400840
112629a5a315494
12aa2a58a68408
13466594063b3b
141dc4373b5944
15deb72cb85e5
hex75590c45648

8064082400840 has 32 divisors (see below), whose sum is σ = 18149088243960. Its totient is φ = 3224761344000.

The previous prime is 8064082400791. The next prime is 8064082400863. The reversal of 8064082400840 is 480042804608.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7924596584356 + 139485816484 = 2815066^2 + 373478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8064082400791 and 8064082400800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27088121 + ... + 27384200.

Almost surely, 28064082400840 is an apocalyptic number.

It is an amenable number.

8064082400840 is an abundant number, since it is smaller than the sum of its proper divisors (10085005843120).

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

8064082400840 is a wasteful number, since it uses less digits than its factorization.

8064082400840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54476033 (or 54476029 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 8064082400840 in words is "eight trillion, sixty-four billion, eighty-two million, four hundred thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3701 7402 14804 18505 29608 37010 74020 148040 54472321 108944642 217889284 272361605 435778568 544723210 1089446420 2178892840 201602060021 403204120042 806408240084 1008010300105 1612816480168 2016020600210 4032041200420 8064082400840