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18993381283296 = 25337314389103257
BaseRepresentation
bin1000101000110001111011…
…01111101001010111100000
32111020202020101202102202000
410110120331233221113200
54442141421102031141
6104221234445324000
74000140460062450
oct424307557512740
974222211672660
1018993381283296
11606305863a342
122169064b66600
13a7a0b69cc5a4
144993dab89d60
1522e0dc51d5b6
hex11463dbe95e0

18993381283296 has 1536 divisors, whose sum is σ = 68547044966400. Its totient is φ = 5003075911680.

The previous prime is 18993381283277. The next prime is 18993381283319. The reversal of 18993381283296 is 69238218339981.

18993381283296 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 338 + 1 + 283 + 2 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 73904207200 + ... + 73904207456.

It is an arithmetic number, because the mean of its divisors is an integer number (44626982400).

Almost surely, 218993381283296 is an apocalyptic number.

18993381283296 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 18993381283296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34273522483200).

18993381283296 is an abundant number, since it is smaller than the sum of its proper divisors (49553663683104).

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

18993381283296 is a wasteful number, since it uses less digits than its factorization.

18993381283296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 18993381283296 in words is "eighteen trillion, nine hundred ninety-three billion, three hundred eighty-one million, two hundred eighty-three thousand, two hundred ninety-six".