Search a number
-
+
110640704384 = 277235990997
BaseRepresentation
bin110011100001010110…
…0110010101110000000
3101120120202000010120002
41213002230302232000
53303043010020014
6122454434135132
710664531320160
oct1470254625600
9346522003502
10110640704384
1142a1687a871
12195394214a8
13a583177b22
1454d83245a0
152d284a5dde
hex19c2b32b80

110640704384 has 128 divisors (see below), whose sum is σ = 267315724800. Its totient is φ = 44586584064.

The previous prime is 110640704371. The next prime is 110640704429. The reversal of 110640704384 is 483407046011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1170374 + ... + 1261370.

It is an arithmetic number, because the mean of its divisors is an integer number (2088404100).

Almost surely, 2110640704384 is an apocalyptic number.

110640704384 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 110640704384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133657862400).

110640704384 is an abundant number, since it is smaller than the sum of its proper divisors (156675020416).

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

110640704384 is an equidigital number, since it uses as much as digits as its factorization.

110640704384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91100 (or 91088 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 110640704384 in words is "one hundred ten billion, six hundred forty million, seven hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 59 64 92 112 118 128 161 184 224 236 322 368 413 448 472 644 736 826 896 944 1288 1357 1472 1652 1888 2576 2714 2944 3304 3776 5152 5428 6608 7552 9499 10304 10856 13216 18998 20608 21712 26432 37996 43424 52864 75992 86848 90997 151984 173696 181994 303968 363988 607936 636979 727976 1215872 1273958 1455952 2092931 2547916 2911904 4185862 5095832 5368823 5823808 8371724 10191664 10737646 11647616 14650517 16743448 20383328 21475292 29301034 33486896 37581761 40766656 42950584 58602068 66973792 75163522 81533312 85901168 117204136 123482929 133947584 150327044 171802336 234408272 246965858 267895168 300654088 343604672 468816544 493931716 601308176 687209344 864380503 937633088 987863432 1202616352 1728761006 1875266176 1975726864 2405232704 3457522012 3951453728 4810465408 6915044024 7902907456 13830088048 15805814912 27660176096 55320352192 110640704384