Search a number
-
+
12379095072 = 253262636863
BaseRepresentation
bin10111000011101101…
…00000000000100000
31011221201110012000200
423201312200000200
5200323022020242
65404210545200
7615523400121
oct134166400040
934851405020
1012379095072
115282749393
122495898200
131223866b36
14856100048
154c6ba504c
hex2e1da0020

12379095072 has 72 divisors (see below), whose sum is σ = 35213802624. Its totient is φ = 4125105024.

The previous prime is 12379095059. The next prime is 12379095083. The reversal of 12379095072 is 27059097321.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×123790950722 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1800313 + ... + 1807175.

It is an arithmetic number, because the mean of its divisors is an integer number (489080592).

Almost surely, 212379095072 is an apocalyptic number.

12379095072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12379095072 is an abundant number, since it is smaller than the sum of its proper divisors (22834707552).

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

12379095072 is a wasteful number, since it uses less digits than its factorization.

12379095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 12379095072 in words is "twelve billion, three hundred seventy-nine million, ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6263 6863 12526 13726 18789 20589 25052 27452 37578 41178 50104 54904 56367 61767 75156 82356 100208 109808 112734 123534 150312 164712 200416 219616 225468 247068 300624 329424 450936 494136 601248 658848 901872 988272 1803744 1976544 42982969 85965938 128948907 171931876 257897814 343863752 386846721 515795628 687727504 773693442 1031591256 1375455008 1547386884 2063182512 3094773768 4126365024 6189547536 12379095072