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4108078944 = 25342368909
BaseRepresentation
bin1111010011011100…
…0100111101100000
3101121022002000220000
43310313010331200
531403132011234
61515350220000
7203542044354
oct36467047540
911538060800
104108078944
1118189a3572
12967954600
13506133558
142ad849464
151909c3899
hexf4dc4f60

4108078944 has 120 divisors (see below), whose sum is σ = 12607222320. Its totient is φ = 1309803264.

The previous prime is 4108078859. The next prime is 4108078969. The reversal of 4108078944 is 4498708014.

4108078944 is a `hidden beast` number, since 410 + 80 + 78 + 94 + 4 = 666.

It is a super-2 number, since 2×41080789442 = 33752625220272310272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4108078944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25162 + ... + 94070.

It is an arithmetic number, because the mean of its divisors is an integer number (105060186).

Almost surely, 24108078944 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 4108078944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303611160).

4108078944 is an abundant number, since it is smaller than the sum of its proper divisors (8499143376).

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

4108078944 is a wasteful number, since it uses less digits than its factorization.

4108078944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68954 (or 68937 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4108078944 is about 64094.2972814275. The cubic root of 4108078944 is about 1601.5712356731.

The spelling of 4108078944 in words is "four billion, one hundred eight million, seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 68909 137818 206727 275636 413454 551272 620181 826908 1102544 1240362 1584907 1653816 1860543 2205088 2480724 3169814 3307632 3721086 4754721 4961448 5581629 6339628 6615264 7442172 9509442 9922896 11163258 12679256 14264163 14884344 19018884 19845792 22326516 25358512 28528326 29768688 38037768 42792489 44653032 50717024 57056652 59537376 76075536 85584978 89306064 114113304 128377467 152151072 171169956 178612128 228226608 256754934 342339912 456453216 513509868 684679824 1027019736 1369359648 2054039472 4108078944