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18827703296 = 21027766377
BaseRepresentation
bin10001100010001101…
…111111010000000000
31210121010122102111022
4101202031333100000
5302024343001141
612352131005012
71234365560153
oct214215772000
953533572438
1018827703296
117a91825176
123795439768
131a10862c4c
14ca8727c9a
15752da3b4b
hex46237f400

18827703296 has 44 divisors (see below), whose sum is σ = 37773462948. Its totient is φ = 9379725312.

The previous prime is 18827703287. The next prime is 18827703311. The reversal of 18827703296 is 69230772881.

It can be written as a sum of positive squares in 2 ways, for example, as 11307344896 + 7520358400 = 106336^2 + 86720^2 .

It is a super-2 number, since 2×188277032962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250460 + ... + 316836.

Almost surely, 218827703296 is an apocalyptic number.

18827703296 is a gapful number since it is divisible by the number (16) 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 18827703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18886731474).

18827703296 is an abundant number, since it is smaller than the sum of its proper divisors (18945759652).

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

18827703296 is an equidigital number, since it uses as much as digits as its factorization.

18827703296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66674 (or 66656 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 18827703296 in words is "eighteen billion, eight hundred twenty-seven million, seven hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 277 512 554 1024 1108 2216 4432 8864 17728 35456 66377 70912 132754 141824 265508 283648 531016 1062032 2124064 4248128 8496256 16992512 18386429 33985024 36772858 67970048 73545716 147091432 294182864 588365728 1176731456 2353462912 4706925824 9413851648 18827703296