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115897785543540 = 223257211131931156011
BaseRepresentation
bin11010010110100010001110…
…010101100110101101110100
3120012100201102221112221120200
4122112202032111212231310
5110142332131044343130
61050254412504200500
733261224111503200
oct3226421625465564
9505321387487520
10115897785543540
1133a23a7a543640
1210bb9925a69130
134c891640cb050
1420896a894bb00
15d5eb79d3a760
hex69688e566b74

115897785543540 has 1728 divisors, whose sum is σ = 522053195489280. Its totient is φ = 20380647168000.

The previous prime is 115897785543523. The next prime is 115897785543599. The reversal of 115897785543540 is 45345587798511.

115897785543540 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 9 + 7 + 78 + 5 + 5 + 4 + 3 + 540 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 742804135 + ... + 742960145.

It is an arithmetic number, because the mean of its divisors is an integer number (302114117760).

Almost surely, 2115897785543540 is an apocalyptic number.

115897785543540 is a gapful number since it is divisible by the number (10) 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 115897785543540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261026597744640).

115897785543540 is an abundant number, since it is smaller than the sum of its proper divisors (406155409945740).

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

115897785543540 is a wasteful number, since it uses less digits than its factorization.

115897785543540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156114 (or 156102 counting only the distinct ones).

The product of its (nonzero) digits is 846720000, while the sum is 72.

The spelling of 115897785543540 in words is "one hundred fifteen trillion, eight hundred ninety-seven billion, seven hundred eighty-five million, five hundred forty-three thousand, five hundred forty".