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18412439220 = 223257171137607
BaseRepresentation
bin10001001001011101…
…111000011010110100
31202112012020211021100
4101021131320122310
5300202041023340
612243014250100
71221164102550
oct211135703264
952465224240
1018412439220
11789938411a
12369a356930
131975808a66
14c6950c860
1572b6c7830
hex4497786b4

18412439220 has 288 divisors, whose sum is σ = 68191538688. Its totient is φ = 3925426176.

The previous prime is 18412439191. The next prime is 18412439257. The reversal of 18412439220 is 2293421481.

18412439220 is a `hidden beast` number, since 18 + 412 + 4 + 3 + 9 + 220 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2416657 + ... + 2424263.

It is an arithmetic number, because the mean of its divisors is an integer number (236776176).

Almost surely, 218412439220 is an apocalyptic number.

18412439220 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 18412439220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34095769344).

18412439220 is an abundant number, since it is smaller than the sum of its proper divisors (49779099468).

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

18412439220 is a wasteful number, since it uses less digits than its factorization.

18412439220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18412439220 in words is "eighteen billion, four hundred twelve million, four hundred thirty-nine thousand, two hundred twenty".