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18826506000 = 243453251463
BaseRepresentation
bin10001100010001001…
…011010111100010000
31210121001101121010000
4101202021122330100
5302024041143000
612352045210000
71234352442411
oct214211327420
953531347100
1018826506000
117a91087675
123794b60900
131a10533ca3
14ca84d5808
15752c19000
hex46225af10

18826506000 has 400 divisors, whose sum is σ = 68421120768. Its totient is φ = 4989600000.

The previous prime is 18826505989. The next prime is 18826506001. The reversal of 18826506000 is 60562881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (18826506001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40661769 + ... + 40662231.

Almost surely, 218826506000 is an apocalyptic number.

18826506000 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 18826506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34210560384).

18826506000 is an abundant number, since it is smaller than the sum of its proper divisors (49594614768).

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

18826506000 is a wasteful number, since it uses less digits than its factorization.

18826506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18826506000 in words is "eighteen billion, eight hundred twenty-six million, five hundred six thousand".