Search a number
-
+
120663540360 = 2332511117126021
BaseRepresentation
bin111000001100000011…
…0111000001010001000
3102112110020201221202100
41300120012320022020
53434104331242420
6131233154233400
711501104112256
oct1603006701210
9375406657670
10120663540360
114719a471890
121b475b85860
13b4bc7cc4bc
145ba950d5d6
153213375190
hex1c181b8288

120663540360 has 192 divisors, whose sum is σ = 428188887360. Its totient is φ = 29225664000.

The previous prime is 120663540301. The next prime is 120663540367. The reversal of 120663540360 is 63045366021.

120663540360 is a `hidden beast` number, since 1 + 20 + 6 + 63 + 540 + 36 + 0 = 666.

120663540360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120663540367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4624150 + ... + 4650170.

It is an arithmetic number, because the mean of its divisors is an integer number (2230150455).

Almost surely, 2120663540360 is an apocalyptic number.

120663540360 is a gapful number since it is divisible by the number (10) 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 120663540360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214094443680).

120663540360 is an abundant number, since it is smaller than the sum of its proper divisors (307525347000).

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

120663540360 is a wasteful number, since it uses less digits than its factorization.

120663540360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27220 (or 27213 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 120663540360 in words is "one hundred twenty billion, six hundred sixty-three million, five hundred forty thousand, three hundred sixty".