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8160058440 = 23325192371697
BaseRepresentation
bin1111001100110000…
…01001110001001000
3210001200120220210200
413212120021301020
5113202433332230
63425414212200
7406133231562
oct74630116110
923050526720
108160058440
11350815a756
1216b8954060
13a00754361
14575a50332
1532b5b5160
hex1e6609c48

8160058440 has 288 divisors, whose sum is σ = 28762863480. Its totient is φ = 2004590592.

The previous prime is 8160058397. The next prime is 8160058453. The reversal of 8160058440 is 448500618.

8160058440 is a `hidden beast` number, since 8 + 1 + 600 + 5 + 8 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8131350276 + 28708164 = 90174^2 + 5358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8160058395 and 8160058404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4807672 + ... + 4809368.

Almost surely, 28160058440 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 8160058440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381431740).

8160058440 is an abundant number, since it is smaller than the sum of its proper divisors (20602805040).

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

8160058440 is a wasteful number, since it uses less digits than its factorization.

8160058440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8160058440 is about 90333.0417953475. The cubic root of 8160058440 is about 2013.2502252387.

The spelling of 8160058440 in words is "eight billion, one hundred sixty million, fifty-eight thousand, four hundred forty".