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115301611728 = 243488967293
BaseRepresentation
bin110101101100010000…
…0101111100011010000
3102000121120022202110000
41223120200233203100
53342114203033403
6124545133410000
711221165346262
oct1533040574320
9360546282400
10115301611728
1144998832506
121a41a339900
13ab4699c074
14581b357b32
152eec77a7a3
hex1ad882f8d0

115301611728 has 50 divisors (see below), whose sum is σ = 333716319794. Its totient is φ = 38433870144.

The previous prime is 115301611723. The next prime is 115301611751. The reversal of 115301611728 is 827116103511.

It is a happy number.

115301611728 is a `hidden beast` number, since 1 + 1 + 5 + 30 + 1 + 611 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108670441104 + 6631170624 = 329652^2 + 81432^2 .

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 = 115301611692 and 115301611701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115301611723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 44482351 + ... + 44484942.

Almost surely, 2115301611728 is an apocalyptic number.

115301611728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115301611728 is an abundant number, since it is smaller than the sum of its proper divisors (218414708066).

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

115301611728 is an equidigital number, since it uses as much as digits as its factorization.

115301611728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88967313 (or 88967298 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 115301611728 in words is "one hundred fifteen billion, three hundred one million, six hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 88967293 177934586 266901879 355869172 533803758 711738344 800705637 1067607516 1423476688 1601411274 2135215032 2402116911 3202822548 4270430064 4804233822 6405645096 7206350733 9608467644 12811290192 14412701466 19216935288 28825402932 38433870576 57650805864 115301611728