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218927242241 = 1737348056029
BaseRepresentation
bin1100101111100100010…
…1001001110000000001
3202221002102020012202022
43023321011021300001
512041330333222431
6244323534331225
721550135566161
oct3137105116001
9687072205668
10218927242241
11849347a2464
123651a359b15
131784c693ab6
14a84bb1a5a1
155a64e3b07b
hex32f9149c01

218927242241 has 8 divisors (see below), whose sum is σ = 238070324520. Its totient is φ = 200480272128.

The previous prime is 218927242223. The next prime is 218927242253. The reversal of 218927242241 is 142242729812.

It can be written as a sum of positive squares in 4 ways, for example, as 103734882241 + 115192360000 = 322079^2 + 339400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-218927242241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218927242192 and 218927242201.

It is not an unprimeable number, because it can be changed into a prime (218920242241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174027386 + ... + 174028643.

It is an arithmetic number, because the mean of its divisors is an integer number (29758790565).

Almost surely, 2218927242241 is an apocalyptic number.

It is an amenable number.

218927242241 is a deficient number, since it is larger than the sum of its proper divisors (19143082279).

218927242241 is a wasteful number, since it uses less digits than its factorization.

218927242241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348056083.

The product of its digits is 258048, while the sum is 44.

The spelling of 218927242241 in words is "two hundred eighteen billion, nine hundred twenty-seven million, two hundred forty-two thousand, two hundred forty-one".

Divisors: 1 17 37 629 348056029 5916952493 12878073073 218927242241