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5876130816 = 21032637601
BaseRepresentation
bin1010111100011111…
…01010010000000000
3120011111222101002200
411132033222100000
544013242141231
62411025513200
7265421200503
oct53617522000
916144871080
105876130816
112545a17066
12117baa2800
137285189aa
143da5a713a
15245d1abe6
hex15e3ea400

5876130816 has 66 divisors (see below), whose sum is σ = 16967226822. Its totient is φ = 1958707200.

The previous prime is 5876130811. The next prime is 5876130847. The reversal of 5876130816 is 6180316785.

5876130816 is a `hidden beast` number, since 587 + 61 + 3 + 0 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4211490816 + 1664640000 = 64896^2 + 40800^2 .

It is not an unprimeable number, because it can be changed into a prime (5876130811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 309585 + ... + 328016.

Almost surely, 25876130816 is an apocalyptic number.

It is an amenable number.

5876130816 is an abundant number, since it is smaller than the sum of its proper divisors (11091096006).

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

5876130816 is a wasteful number, since it uses less digits than its factorization.

5876130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637627 (or 637606 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5876130816 is about 76655.9248590740. The cubic root of 5876130816 is about 1804.5288033735.

The spelling of 5876130816 in words is "five billion, eight hundred seventy-six million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 637601 1275202 1912803 2550404 3825606 5100808 5738409 7651212 10201616 11476818 15302424 20403232 22953636 30604848 40806464 45907272 61209696 81612928 91814544 122419392 163225856 183629088 244838784 326451712 367258176 489677568 652903424 734516352 979355136 1469032704 1958710272 2938065408 5876130816