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18453380040 = 2333541835021
BaseRepresentation
bin10001001011111010…
…000011101111001000
31202122001021211112000
4101023322003233020
5300243031130130
612251035551000
71222202066544
oct211372035710
952561254460
1018453380040
11790a4a7607
1236abbbb460
1319811418b4
14c70b28a24
157300b3260
hex44be83bc8

18453380040 has 256 divisors, whose sum is σ = 63783417600. Its totient is φ = 4742092800.

The previous prime is 18453379991. The next prime is 18453380041. The reversal of 18453380040 is 4008335481.

18453380040 is a `hidden beast` number, since 1 + 8 + 4 + 533 + 80 + 0 + 40 = 666.

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 = 18453379977 and 18453380004.

It is not an unprimeable number, because it can be changed into a prime (18453380041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3672730 + ... + 3677750.

It is an arithmetic number, because the mean of its divisors is an integer number (249153975).

Almost surely, 218453380040 is an apocalyptic number.

18453380040 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 18453380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891708800).

18453380040 is an abundant number, since it is smaller than the sum of its proper divisors (45330037560).

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

18453380040 is a wasteful number, since it uses less digits than its factorization.

18453380040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18453380040 in words is "eighteen billion, four hundred fifty-three million, three hundred eighty thousand, forty".