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5128023168 = 27351131459
BaseRepresentation
bin1001100011010011…
…10110110010000000
3111020101021120100000
410301221312302000
541000233220133
62204503200000
7241035322602
oct46151666200
914211246300
105128023168
1121a16a9784
12bb1446000
13639534648
143690a9172
152002e4413
hex131a76c80

5128023168 has 192 divisors, whose sum is σ = 15448960800. Its totient is φ = 1693052928.

The previous prime is 5128023161. The next prime is 5128023211. The reversal of 5128023168 is 8613208215.

It is a happy number.

5128023168 is a `hidden beast` number, since 512 + 80 + 2 + 3 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×51280231682 = 52593243223089512448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5128023161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3514023 + ... + 3515481.

Almost surely, 25128023168 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 5128023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724480400).

5128023168 is an abundant number, since it is smaller than the sum of its proper divisors (10320937632).

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

5128023168 is a wasteful number, since it uses less digits than its factorization.

5128023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5128023168 is about 71610.2169246819. The cubic root of 5128023168 is about 1724.4475629857.

The spelling of 5128023168 in words is "five billion, one hundred twenty-eight million, twenty-three thousand, one hundred sixty-eight".