Search a number
-
+
19894849660224 = 2634711232711327
BaseRepresentation
bin1001000011000001000010…
…11100100110010101000000
32121102221002021112210110000
410201200201130212111000
510101424123003111344
6110151322345240000
74122232630622340
oct441404134462500
977387067483400
1019894849660224
1163803a3a80490
122293908a93000
13b140cb757c86
144cacb71a2d20
1524779d8e9a69
hex121821726540

19894849660224 has 1680 divisors, whose sum is σ = 78003847950336. Its totient is φ = 4869530265600.

The previous prime is 19894849660211. The next prime is 19894849660229. The reversal of 19894849660224 is 42206694849891.

19894849660224 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 4 + 8 + 4 + 9 + 6 + 602 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19894849660229) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14992350249 + ... + 14992351575.

Almost surely, 219894849660224 is an apocalyptic number.

19894849660224 is a gapful number since it is divisible by the number (14) 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 19894849660224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39001923975168).

19894849660224 is an abundant number, since it is smaller than the sum of its proper divisors (58108998290112).

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

19894849660224 is a wasteful number, since it uses less digits than its factorization.

19894849660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 19894849660224 in words is "nineteen trillion, eight hundred ninety-four billion, eight hundred forty-nine million, six hundred sixty thousand, two hundred twenty-four".