Search a number
-
+
3066700136955 = 357135342389939
BaseRepresentation
bin101100101000000101100…
…100101000000111111011
3101212011200121100022012220
4230220011210220013323
5400221100213340310
610304453402535123
7434363455031550
oct54500544500773
911764617308186
103066700136955
11a82642307904
1241641b8074a3
1319325b412670
14a860156aa27
1554b8a2cc670
hex2ca059281fb

3066700136955 has 64 divisors (see below), whose sum is σ = 6152984570880. Its totient is φ = 1269663422976.

The previous prime is 3066700136921. The next prime is 3066700136987. The reversal of 3066700136955 is 5596310076603.

3066700136955 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3066700136955 - 221 = 3066698039803 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3066700136898 and 3066700136907.

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 63 ways as a sum of consecutive naturals, for example, 21122625 + ... + 21267314.

It is an arithmetic number, because the mean of its divisors is an integer number (96140383920).

Almost surely, 23066700136955 is an apocalyptic number.

3066700136955 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3066700136955 is an abundant number, since it is smaller than the sum of its proper divisors (3086284433925).

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

3066700136955 is a wasteful number, since it uses less digits than its factorization.

3066700136955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42390020.

The product of its (nonzero) digits is 3061800, while the sum is 51.

The spelling of 3066700136955 in words is "three trillion, sixty-six billion, seven hundred million, one hundred thirty-six thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 35 39 53 65 91 105 159 195 265 273 371 455 689 795 1113 1365 1855 2067 3445 4823 5565 10335 14469 24115 72345 42389939 127169817 211949695 296729573 551069207 635849085 890188719 1483647865 1653207621 2246666767 2755346035 3857484449 4450943595 6740000301 8266038105 11233333835 11572453347 15726667369 19287422245 29206667971 33700001505 47180002107 57862266735 78633336845 87620003913 146033339855 204446675797 235900010535 438100019565 613340027391 1022233378985 3066700136955