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18404940736 = 2671367101467
BaseRepresentation
bin10001001001000001…
…010001101111000000
31202111200010212021201
4101021001101233000
5300143131100421
612242145430544
71221043262230
oct211101215700
952450125251
1018404940736
117895122426
12369793b454
1319740b19a0
14c68519cc0
1572abe5b91
hex449051bc0

18404940736 has 224 divisors, whose sum is σ = 46171786752. Its totient is φ = 7086182400.

The previous prime is 18404940733. The next prime is 18404940739. The reversal of 18404940736 is 63704940481.

It is an interprime number because it is at equal distance from previous prime (18404940733) and next prime (18404940739).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18404940733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39410775 + ... + 39411241.

It is an arithmetic number, because the mean of its divisors is an integer number (206124048).

Almost surely, 218404940736 is an apocalyptic number.

18404940736 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 18404940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23085893376).

18404940736 is an abundant number, since it is smaller than the sum of its proper divisors (27766846016).

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

18404940736 is a wasteful number, since it uses less digits than its factorization.

18404940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

It can be divided in two parts, 184049 and 40736, that added together give a triangular number (224785 = T670).

The spelling of 18404940736 in words is "eighteen billion, four hundred four million, nine hundred forty thousand, seven hundred thirty-six".