Search a number
-
+
120036253064 = 237131277129119
BaseRepresentation
bin110111111001010110…
…1111101110110001000
3102110211112101110100112
41233302231331312020
53431313240044224
6131051025253452
711446416213320
oct1576255756610
9373745343315
10120036253064
11469a8376632
121b31ba94288
13b41c86b5a0
145b4a0a2280
1531c826730e
hex1bf2b7dd88

120036253064 has 64 divisors (see below), whose sum is σ = 277225804800. Its totient is φ = 47449315584.

The previous prime is 120036253019. The next prime is 120036253081. The reversal of 120036253064 is 460352630021.

It is a self number, because there is not a number n which added to its sum of digits gives 120036253064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865097 + ... + 994215.

It is an arithmetic number, because the mean of its divisors is an integer number (4331653200).

Almost surely, 2120036253064 is an apocalyptic number.

120036253064 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 120036253064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138612902400).

120036253064 is an abundant number, since it is smaller than the sum of its proper divisors (157189551736).

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

120036253064 is a wasteful number, since it uses less digits than its factorization.

120036253064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130422 (or 130418 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 120036253064 its reverse (460352630021), we get a palindrome (580388883085).

The spelling of 120036253064 in words is "one hundred twenty billion, thirty-six million, two hundred fifty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1277 2554 5108 8939 10216 16601 17878 33202 35756 66404 71512 116207 129119 132808 232414 258238 464828 516476 903833 929656 1032952 1678547 1807666 3357094 3615332 6714188 7230664 11749829 13428376 23499658 46999316 93998632 164884963 329769926 659539852 1154194741 1319079704 2143504519 2308389482 4287009038 4616778964 8574018076 9233557928 15004531633 17148036152 30009063266 60018126532 120036253064