Search a number
-
+
39707128080 = 2432555148789
BaseRepresentation
bin100100111110101110…
…101011000100010000
310210111020222002202100
4210332232223010100
51122310011044310
630124033320400
72603660006544
oct447656530420
9123436862670
1039707128080
1115926703034
127841a06100
13398a4ac079
141cc9731a24
151075e34ec0
hex93ebab110

39707128080 has 60 divisors (see below), whose sum is σ = 133349774220. Its totient is φ = 10588567296.

The previous prime is 39707128061. The next prime is 39707128081. The reversal of 39707128080 is 8082170793.

It can be written as a sum of positive squares in 2 ways, for example, as 30125850624 + 9581277456 = 173568^2 + 97884^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (39707128081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27573675 + ... + 27575114.

It is an arithmetic number, because the mean of its divisors is an integer number (2222496237).

Almost surely, 239707128080 is an apocalyptic number.

39707128080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39707128080 is an abundant number, since it is smaller than the sum of its proper divisors (93642646140).

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

39707128080 is a wasteful number, since it uses less digits than its factorization.

39707128080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55148808 (or 55148799 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 39707128080 in words is "thirty-nine billion, seven hundred seven million, one hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 55148789 110297578 165446367 220595156 275743945 330892734 441190312 496339101 551487890 661785468 827231835 882380624 992678202 1102975780 1323570936 1654463670 1985356404 2205951560 2481695505 2647141872 3308927340 3970712808 4411903120 4963391010 6617854680 7941425616 9926782020 13235709360 19853564040 39707128080