Search a number
-
+
18916487928000 = 2634531317314261
BaseRepresentation
bin1000100110100010101101…
…00010110001100011000000
32110222101202120100021010000
410103101112202301203000
54434411431402144000
6104122040430040000
73661446130252155
oct423212642614300
973871676307100
1018916487928000
11603348a313423
122156185649000
13a72a813ab0a0
144957c485822c
1522c0dbb5c000
hex1134568b18c0

18916487928000 has 2240 divisors, whose sum is σ = 82390597825536. Its totient is φ = 4240097280000.

The previous prime is 18916487927999. The next prime is 18916487928011. The reversal of 18916487928000 is 82978461981.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 4439445870 + ... + 4439450130.

Almost surely, 218916487928000 is an apocalyptic number.

18916487928000 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 18916487928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41195298912768).

18916487928000 is an abundant number, since it is smaller than the sum of its proper divisors (63474109897536).

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

18916487928000 is a wasteful number, since it uses less digits than its factorization.

18916487928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 18916487928000 in words is "eighteen trillion, nine hundred sixteen billion, four hundred eighty-seven million, nine hundred twenty-eight thousand".