Search a number
-
+
110250041664 = 2637269304949
BaseRepresentation
bin110011010101101101…
…0100010000101000000
3101112120111220102001110
41212223122202011000
53301243002313124
6122352001003320
710652045614620
oct1465332420500
9345514812043
10110250041664
1142836302114
121944a623540
13a520255559
14549c4b0880
152d04039029
hex19ab6a2140

110250041664 has 112 divisors (see below), whose sum is σ = 334615536000. Its totient is φ = 31382808576.

The previous prime is 110250041663. The next prime is 110250041669. The reversal of 110250041664 is 466140052011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110250041663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209062 + ... + 514010.

Almost surely, 2110250041664 is an apocalyptic number.

110250041664 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 110250041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167307768000).

110250041664 is an abundant number, since it is smaller than the sum of its proper divisors (224365494336).

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

110250041664 is a wasteful number, since it uses less digits than its factorization.

110250041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305240 (or 305230 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 110250041664 its reverse (466140052011), we get a palindrome (576390093675).

The spelling of 110250041664 in words is "one hundred ten billion, two hundred fifty million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 269 336 448 538 672 807 1076 1344 1614 1883 2152 3228 3766 4304 5649 6456 7532 8608 11298 12912 15064 17216 22596 25824 30128 45192 51648 60256 90384 120512 180768 304949 361536 609898 914847 1219796 1829694 2134643 2439592 3659388 4269286 4879184 6403929 7318776 8538572 9758368 12807858 14637552 17077144 19516736 25615716 29275104 34154288 51231432 58550208 68308576 82031281 102462864 136617152 164062562 204925728 246093843 328125124 409851456 492187686 574218967 656250248 984375372 1148437934 1312500496 1722656901 1968750744 2296875868 2625000992 3445313802 3937501488 4593751736 5250001984 6890627604 7875002976 9187503472 13781255208 15750005952 18375006944 27562510416 36750013888 55125020832 110250041664