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18007741440 = 21032513231307
BaseRepresentation
bin10000110001010110…
…000101010000000000
31201110222202001021200
4100301112011100000
5243334440211230
612134520221200
71205151163623
oct206126052000
951428661250
1018007741440
11770099a747
1235a690a800
13190ca11110
14c2b883dba
15705dd7160
hex431585400

18007741440 has 528 divisors, whose sum is σ = 70171291008. Its totient is φ = 4236705792.

The previous prime is 18007741439. The next prime is 18007741517. The reversal of 18007741440 is 4414770081.

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 = 18007741395 and 18007741404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13777267 + ... + 13778573.

Almost surely, 218007741440 is an apocalyptic number.

18007741440 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 18007741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35085645504).

18007741440 is an abundant number, since it is smaller than the sum of its proper divisors (52163549568).

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

18007741440 is a wasteful number, since it uses less digits than its factorization.

18007741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 18007741440 in words is "eighteen billion, seven million, seven hundred forty-one thousand, four hundred forty".