Search a number
-
+
110249963364 = 223235346716139
BaseRepresentation
bin110011010101101101…
…0001110111101100100
3101112120111202102122110
41212223122032331210
53301242442311424
6122351555201020
710652045140422
oct1465332167544
9345514672573
10110249963364
1142836259302
121944a5a6170
13a520228a18
14549c490112
152d04020c29
hex19ab68ef64

110249963364 has 96 divisors (see below), whose sum is σ = 274102133760. Its totient is φ = 34412929408.

The previous prime is 110249963363. The next prime is 110249963401. The reversal of 110249963364 is 463369942011.

It is not an unprimeable number, because it can be changed into a prime (110249963363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6823207 + ... + 6839345.

It is an arithmetic number, because the mean of its divisors is an integer number (2855230560).

Almost surely, 2110249963364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110249963364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137051066880).

110249963364 is an abundant number, since it is smaller than the sum of its proper divisors (163852170396).

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

110249963364 is a wasteful number, since it uses less digits than its factorization.

110249963364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689 (or 16687 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 110249963364 in words is "one hundred ten billion, two hundred forty-nine million, nine hundred sixty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 467 636 934 1219 1401 1868 2438 2802 3657 4876 5604 7314 10741 14628 16139 21482 24751 32223 32278 42964 48417 49502 64446 64556 74253 96834 99004 128892 148506 193668 297012 371197 569273 742394 855367 1113591 1138546 1484788 1707819 1710734 2227182 2277092 2566101 3415638 3421468 4454364 5132202 6831276 7536913 10264404 15073826 19673441 22610739 30147652 39346882 45221478 59020323 78693764 90442956 118040646 173348999 236081292 346697998 399456389 520046997 693395996 798912778 1040093994 1198369167 1597825556 2080187988 2396738334 4793476668 9187496947 18374993894 27562490841 36749987788 55124981682 110249963364