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4081006080 = 29325177127
BaseRepresentation
bin1111001100111111…
…0011011000000000
3101112102010120220100
43303033303120000
531324214143310
61512542042400
7203062656624
oct36317633000
911472116810
104081006080
1118046922a8
1295a879400
135006449c8
142a9ddd184
1518d426ec0
hexf33f3600

4081006080 has 120 divisors (see below), whose sum is σ = 14133751632. Its totient is φ = 1088262144.

The previous prime is 4081006003. The next prime is 4081006103. The reversal of 4081006080 is 806001804.

4081006080 is a `hidden beast` number, since 40 + 8 + 10 + 0 + 608 + 0 = 666.

4081006080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40810060802 = 33309221249993932800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65524 + ... + 111603.

Almost surely, 24081006080 is an apocalyptic number.

4081006080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4081006080 is an abundant number, since it is smaller than the sum of its proper divisors (10052745552).

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

4081006080 is a wasteful number, since it uses less digits than its factorization.

4081006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177156 (or 177137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4081006080 is about 63882.7526019347. The cubic root of 4081006080 is about 1598.0452795567.

Adding to 4081006080 its reverse (806001804), we get a palindrome (4887007884).

The spelling of 4081006080 in words is "four billion, eighty-one million, six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 177127 354254 531381 708508 885635 1062762 1417016 1594143 1771270 2125524 2656905 2834032 3188286 3542540 4251048 5313810 5668064 6376572 7085080 7970715 8502096 10627620 11336128 12753144 14170160 15941430 17004192 21255240 22672256 25506288 28340320 31882860 34008384 42510480 45344512 51012576 56680640 63765720 68016768 85020960 90689024 102025152 113361280 127531440 136033536 170041920 204050304 226722560 255062880 272067072 340083840 408100608 453445120 510125760 680167680 816201216 1020251520 1360335360 2040503040 4081006080