Search a number
-
+
19472403234816 = 215347373293
BaseRepresentation
bin1000110110101110001011…
…01011011000000000000000
32112221112200021001212110000
410123113011223120000000
510023013440212003231
6105225255404240000
74046556206352000
oct433270553300000
975845607055400
1019472403234816
116228221a88494
122225a70540000
13ab331695000c
144b467dc52000
1523b7c65dd6e6
hex11b5c5ad8000

19472403234816 has 1280 divisors, whose sum is σ = 69007725864000. Its totient is φ = 5468602761216.

The previous prime is 19472403234803. The next prime is 19472403234839. The reversal of 19472403234816 is 61843230427491.

19472403234816 is a `hidden beast` number, since 1 + 9 + 47 + 240 + 3 + 2 + 348 + 16 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 66458713966 + ... + 66458714258.

Almost surely, 219472403234816 is an apocalyptic number.

19472403234816 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 19472403234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34503862932000).

19472403234816 is an abundant number, since it is smaller than the sum of its proper divisors (49535322629184).

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

19472403234816 is an frugal number, since it uses more digits than its factorization.

19472403234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 19472403234816 in words is "nineteen trillion, four hundred seventy-two billion, four hundred three million, two hundred thirty-four thousand, eight hundred sixteen".