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20181832420 = 2254360139047
BaseRepresentation
bin10010110010111011…
…100101001011100100
31221002111200022102211
4102302323211023210
5312313022114140
613134342413204
71313060513401
oct226273451344
957074608384
1020181832420
118617133452
123ab2a31204
131b98270899
14d964d92a8
157d1bd72ea
hex4b2ee52e4

20181832420 has 48 divisors (see below), whose sum is σ = 43440743808. Its totient is φ = 7871673600.

The previous prime is 20181832417. The next prime is 20181832427. The reversal of 20181832420 is 2423818102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20181832427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497337 + ... + 536383.

It is an arithmetic number, because the mean of its divisors is an integer number (905015496).

Almost surely, 220181832420 is an apocalyptic number.

20181832420 is a gapful number since it is divisible by the number (20) 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 20181832420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21720371904).

20181832420 is an abundant number, since it is smaller than the sum of its proper divisors (23258911388).

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

20181832420 is a wasteful number, since it uses less digits than its factorization.

20181832420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39700 (or 39698 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 20181832420 in words is "twenty billion, one hundred eighty-one million, eight hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 601 860 1202 2404 3005 6010 12020 25843 39047 51686 78094 103372 129215 156188 195235 258430 390470 516860 780940 1679021 3358042 6716084 8395105 16790210 23467247 33580420 46934494 93868988 117336235 234672470 469344940 1009091621 2018183242 4036366484 5045458105 10090916210 20181832420