Search a number
-
+
19490623488000 = 21533537171481
BaseRepresentation
bin1000110111010000000111…
…01100001000000000000000
32120000021201001200122001000
410123220003230020000000
510023313244103104000
6105241511355412000
74051102551063450
oct433500354100000
976007631618030
1019490623488000
116234a21926375
1222294b6454000
13ab4c5b6a9312
144b54cba13d60
1523bee0ea2000
hex11ba03b08000

19490623488000 has 2048 divisors, whose sum is σ = 87270726067200. Its totient is φ = 4190109696000.

The previous prime is 19490623487999. The next prime is 19490623488031. The reversal of 19490623488000 is 88432609491.

19490623488000 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 0 + 623 + 4 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×194906234880002 (a number of 27 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13160447260 + ... + 13160448740.

Almost surely, 219490623488000 is an apocalyptic number.

19490623488000 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 19490623488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43635363033600).

19490623488000 is an abundant number, since it is smaller than the sum of its proper divisors (67780102579200).

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

19490623488000 is an equidigital number, since it uses as much as digits as its factorization.

19490623488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 19490623488000 in words is "nineteen trillion, four hundred ninety billion, six hundred twenty-three million, four hundred eighty-eight thousand".