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5808112128 = 293871319
BaseRepresentation
bin1010110100011000…
…01100001000000000
3112222202222200000000
411122030030020000
543343334042003
62400200000000
7263634065340
oct53214141000
915882880000
105808112128
112510589675
121161160000
137173c1c50
143d153cd20
1523ed821a3
hex15a30c200

5808112128 has 720 divisors, whose sum is σ = 22550848320. Its totient is φ = 1451188224.

The previous prime is 5808112087. The next prime is 5808112129. The reversal of 5808112128 is 8212118085.

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 = 5808112092 and 5808112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5808112129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 305690103 + ... + 305690121.

Almost surely, 25808112128 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 5808112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11275424160).

5808112128 is an abundant number, since it is smaller than the sum of its proper divisors (16742736192).

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

5808112128 is an frugal number, since it uses more digits than its factorization.

5808112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 5808112128 is about 76210.9711786958. The cubic root of 5808112128 is about 1797.5390369004.

The spelling of 5808112128 in words is "five billion, eight hundred eight million, one hundred twelve thousand, one hundred twenty-eight".