Search a number
-
+
19491014448 = 243522392
BaseRepresentation
bin10010001001110000…
…010100011100110000
31212022100210010100000
4102021300110130300
5304404144430243
612542024030000
71260001614003
oct221160243460
955270703300
1019491014448
1182a2195704
12393b602300
131ab80c7959
14d2c87153a
1579122a5d3
hex489c14730

19491014448 has 90 divisors (see below), whose sum is σ = 56593333524. Its totient is φ = 6494103072.

The previous prime is 19491014429. The next prime is 19491014449. The reversal of 19491014448 is 84441019491.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19491014448 is a `hidden beast` number, since 19 + 491 + 0 + 144 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (19491014449) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 8704113 + ... + 8706351.

Almost surely, 219491014448 is an apocalyptic number.

19491014448 is a gapful number since it is divisible by the number (18) 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 19491014448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28296666762).

19491014448 is an abundant number, since it is smaller than the sum of its proper divisors (37102319076).

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

19491014448 is an frugal number, since it uses more digits than its factorization.

19491014448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 19491014448 in words is "nineteen billion, four hundred ninety-one million, fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 2239 3888 4478 6717 8956 13434 17912 20151 26868 35824 40302 53736 60453 80604 107472 120906 161208 181359 241812 322416 362718 483624 544077 725436 967248 1088154 1450872 2176308 2901744 4352616 5013121 8705232 10026242 15039363 20052484 30078726 40104968 45118089 60157452 80209936 90236178 120314904 135354267 180472356 240629808 270708534 360944712 406062801 541417068 721889424 812125602 1082834136 1218188403 1624251204 2165668272 2436376806 3248502408 4872753612 6497004816 9745507224 19491014448