Search a number
-
+
20345154555105 = 325452114545669
BaseRepresentation
bin1001010000000111110011…
…01101011100110011100001
32200000222101210122121012200
410220003321231130303201
510131313334031230410
6111134233542043413
74166613616233432
oct450037155346341
980028353577180
1020345154555105
116534371392976
12234703b119569
13b47703058ab3
145049d4381489
152543568123c0
hex1280f9b5cce1

20345154555105 has 12 divisors (see below), whose sum is σ = 35264934562260. Its totient is φ = 10850749096032.

The previous prime is 20345154555083. The next prime is 20345154555119. The reversal of 20345154555105 is 50155545154302.

20345154555105 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 51 + 5 + 45 + 551 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8696742552576 + 11648412002529 = 2949024^2 + 3412977^2 .

It is not a de Polignac number, because 20345154555105 - 28 = 20345154554849 is a prime.

It is a super-2 number, since 2×203451545551052 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 452114545669 = 20345154555105 / (2 + 0 + 3 + 4 + 5 + 1 + 5 + 4 + 5 + 5 + 5 + 1 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226057272790 + ... + 226057272879.

It is an arithmetic number, because the mean of its divisors is an integer number (2938744546855).

Almost surely, 220345154555105 is an apocalyptic number.

It is an amenable number.

20345154555105 is a deficient number, since it is larger than the sum of its proper divisors (14919780007155).

20345154555105 is a wasteful number, since it uses less digits than its factorization.

20345154555105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452114545680 (or 452114545677 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 45.

The spelling of 20345154555105 in words is "twenty trillion, three hundred forty-five billion, one hundred fifty-four million, five hundred fifty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 45 452114545669 1356343637007 2260572728345 4069030911021 6781718185035 20345154555105