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8087643136 = 21073108193
BaseRepresentation
bin1111000100000111…
…11010010000000000
3202212122022211200101
413202003322100000
5113030414040021
63414310132144
7404263555336
oct74203722000
922778284611
108087643136
113480299aa1
121698651054
139bb74b371
1456a19db56
1532505da91
hex1e20fa400

8087643136 has 44 divisors (see below), whose sum is σ = 16389010732. Its totient is φ = 3988389888.

The previous prime is 8087643133. The next prime is 8087643143. The reversal of 8087643136 is 6313467808.

It can be written as a sum of positive squares in 2 ways, for example, as 4261478400 + 3826164736 = 65280^2 + 61856^2 .

It is not an unprimeable number, because it can be changed into a prime (8087643133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20656 + ... + 128848.

Almost surely, 28087643136 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 8087643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8194505366).

8087643136 is an abundant number, since it is smaller than the sum of its proper divisors (8301367596).

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

8087643136 is a wasteful number, since it uses less digits than its factorization.

8087643136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108286 (or 108268 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 8087643136 is about 89931.3245537949. The cubic root of 8087643136 is about 2007.2770845730.

The spelling of 8087643136 in words is "eight billion, eighty-seven million, six hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2336 4672 9344 18688 37376 74752 108193 216386 432772 865544 1731088 3462176 6924352 7898089 13848704 15796178 27697408 31592356 55394816 63184712 110789632 126369424 252738848 505477696 1010955392 2021910784 4043821568 8087643136