Search a number
-
+
19949494656 = 273731361191
BaseRepresentation
bin10010100101000101…
…010010000110000000
31220111022111022221110
4102211011102012000
5311324032312111
613055322523320
71304236623000
oct224505220600
956438438843
1019949494656
118507a73673
123a49066540
131b5c0a3510
14d736da000
157bb5e15a6
hex4a5152180

19949494656 has 512 divisors, whose sum is σ = 67995648000. Its totient is φ = 5148057600.

The previous prime is 19949494583. The next prime is 19949494673. The reversal of 19949494656 is 65649494991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104447521 + ... + 104447711.

It is an arithmetic number, because the mean of its divisors is an integer number (132804000).

Almost surely, 219949494656 is an apocalyptic number.

19949494656 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 19949494656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997824000).

19949494656 is an abundant number, since it is smaller than the sum of its proper divisors (48046153344).

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

19949494656 is a wasteful number, since it uses less digits than its factorization.

19949494656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 66.

It can be divided in two parts, 19949 and 494656, that added together give a triangular number (514605 = T1014).

The spelling of 19949494656 in words is "nineteen billion, nine hundred forty-nine million, four hundred ninety-four thousand, six hundred fifty-six".