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115428112128 = 2833731411877
BaseRepresentation
bin110101110000000001…
…1010011011100000000
3102000221101100122101000
41223200003103130000
53342344044042003
6125005453012000
711224262523150
oct1534003233400
9360841318330
10115428112128
1144a5318409a
121a454784000
13ab66c60984
145830086760
1530089171a3
hex1ae00d3700

115428112128 has 576 divisors, whose sum is σ = 412729712640. Its totient is φ = 31120588800.

The previous prime is 115428112127. The next prime is 115428112183. The reversal of 115428112128 is 821211824511.

115428112128 is a `hidden beast` number, since 1 + 1 + 5 + 428 + 11 + 212 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 115428112092 and 115428112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115428112127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61495126 + ... + 61497002.

It is an arithmetic number, because the mean of its divisors is an integer number (716544640).

Almost surely, 2115428112128 is an apocalyptic number.

115428112128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115428112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206364856320).

115428112128 is an abundant number, since it is smaller than the sum of its proper divisors (297301600512).

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

115428112128 is a wasteful number, since it uses less digits than its factorization.

115428112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1961 counting only the distinct ones).

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

Adding to 115428112128 its reverse (821211824511), we get a palindrome (936639936639).

The spelling of 115428112128 in words is "one hundred fifteen billion, four hundred twenty-eight million, one hundred twelve thousand, one hundred twenty-eight".