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18040449751632 = 2434711414409281
BaseRepresentation
bin1000001101000010111101…
…00110010101101001010000
32100212122112221221221110000
410012201132212111221100
54331033320114023012
6102211400155410000
73541244106520560
oct406413646255120
970778487857400
1018040449751632
115825a03631360
12203443a153900
13a0b290042859
1446523b9b0da0
152144180ceddc
hex10685e995a50

18040449751632 has 400 divisors, whose sum is σ = 66686122065024. Its totient is φ = 4571541504000.

The previous prime is 18040449751627. The next prime is 18040449751633. The reversal of 18040449751632 is 23615794404081.

18040449751632 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 0 + 4 + 4 + 97 + 516 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18040449751633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1886832 + ... + 6296112.

It is a 1-persistent number, because it is pandigital, but 2⋅18040449751632 = 36080899503264 is not.

Almost surely, 218040449751632 is an apocalyptic number.

18040449751632 is a gapful number since it is divisible by the number (12) 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 18040449751632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33343061032512).

18040449751632 is an abundant number, since it is smaller than the sum of its proper divisors (48645672313392).

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

18040449751632 is a wasteful number, since it uses less digits than its factorization.

18040449751632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409360 (or 4409345 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18040449751632 in words is "eighteen trillion, forty billion, four hundred forty-nine million, seven hundred fifty-one thousand, six hundred thirty-two".