Search a number
-
+
2426067036180 = 2232513478150201
BaseRepresentation
bin100011010011011100110…
…111010010100000010100
322120221002210010212020100
4203103130313102200110
5304222041130124210
65054304140134100
7340164126362064
oct43233467224024
98527083125210
102426067036180
1185598665a297
12332230b37330
13147a144b7878
14855ca9d73a4
15431930bc5c0
hex234dcdd2814

2426067036180 has 36 divisors (see below), whose sum is σ = 7359070010292. Its totient is φ = 646951209600.

The previous prime is 2426067036179. The next prime is 2426067036199. The reversal of 2426067036180 is 816307606242.

2426067036180 is a `hidden beast` number, since 2 + 4 + 2 + 606 + 7 + 0 + 36 + 1 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 904697736336 + 1521369299844 = 951156^2 + 1233438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6739074921 + ... + 6739075280.

It is an arithmetic number, because the mean of its divisors is an integer number (204418611397).

Almost surely, 22426067036180 is an apocalyptic number.

2426067036180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2426067036180 is an abundant number, since it is smaller than the sum of its proper divisors (4933002974112).

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

2426067036180 is a wasteful number, since it uses less digits than its factorization.

2426067036180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478150216 (or 13478150211 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2426067036180 in words is "two trillion, four hundred twenty-six billion, sixty-seven million, thirty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13478150201 26956300402 40434450603 53912600804 67390751005 80868901206 121303351809 134781502010 161737802412 202172253015 242606703618 269563004020 404344506030 485213407236 606516759045 808689012060 1213033518090 2426067036180