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18914736036672 = 26367832113307
BaseRepresentation
bin1000100110011111011100…
…00111110101101101000000
32110222020020110211222000000
410103033232013311231000
54434344334411133142
6104121150525000000
73661354535364240
oct423175607655500
973866213758000
1018914736036672
116032770428553
1221559769b3000
13a728624635b8
14495699d05b20
1522c037e5814c
hex1133ee1f5b40

18914736036672 has 784 divisors, whose sum is σ = 65417586565632. Its totient is φ = 5312188707840.

The previous prime is 18914736036671. The next prime is 18914736036697. The reversal of 18914736036672 is 27663063741981.

It is a happy number.

18914736036672 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 473 + 60 + 36 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18914736036671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5719604043 + ... + 5719607349.

Almost surely, 218914736036672 is an apocalyptic number.

18914736036672 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 18914736036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32708793282816).

18914736036672 is an abundant number, since it is smaller than the sum of its proper divisors (46502850528960).

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

18914736036672 is an equidigital number, since it uses as much as digits as its factorization.

18914736036672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 18914736036672 in words is "eighteen trillion, nine hundred fourteen billion, seven hundred thirty-six million, thirty-six thousand, six hundred seventy-two".