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115017138432 = 283473125561
BaseRepresentation
bin110101100011110001…
…1100100000100000000
3101222212202001000110000
41223013203210010000
53341023341412212
6124501012240000
711211142355130
oct1530743440400
9358782030400
10115017138432
11448621a3509
121a35b010000
13aacca79581
1457d1666ac0
152ed27d71dc
hex1ac78e4100

115017138432 has 360 divisors, whose sum is σ = 404614149632. Its totient is φ = 31800729600.

The previous prime is 115017138403. The next prime is 115017138469. The reversal of 115017138432 is 234831710511.

115017138432 is a `hidden beast` number, since 1 + 1 + 50 + 171 + 3 + 8 + 432 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4486932 + ... + 4512492.

Almost surely, 2115017138432 is an apocalyptic number.

115017138432 is a gapful number since it is divisible by the number (12) 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 115017138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202307074816).

115017138432 is an abundant number, since it is smaller than the sum of its proper divisors (289597011200).

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

115017138432 is an equidigital number, since it uses as much as digits as its factorization.

115017138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25627 (or 25604 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 115017138432 its reverse (234831710511), we get a palindrome (349848848943).

The spelling of 115017138432 in words is "one hundred fifteen billion, seventeen million, one hundred thirty-eight thousand, four hundred thirty-two".