Search a number
-
+
2107685493369 = 324839292
BaseRepresentation
bin11110101010111011110…
…110000101101001111001
321110111022020002201010100
4132222323312011221321
5234013014441241434
64252131330510013
7305163261044541
oct36527366055171
97414266081110
102107685493369
117429565718a5
122a0597735309
131239a53aa211
147402650a321
1539c5bcda699
hex1eabbd85a79

2107685493369 has 9 divisors (see below), whose sum is σ = 3044440892623. Its totient is φ = 1405120758672.

The previous prime is 2107685493359. The next prime is 2107685493391. The reversal of 2107685493369 is 9633945867012.

The square root of 2107685493369 is 1451787.

It is a perfect power (a square), and thus also a powerful number.

2107685493369 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 6 + 85 + 493 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1685289486969 + 422396006400 = 1298187^2 + 649920^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2107685493369 - 211 = 2107685491321 is a prime.

It is a super-2 number, since 2×21076854933692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2107685493349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4113397 + ... + 4597325.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2107685493369 = 4215370986738, but 3⋅2107685493369 = 6323056480107 is not.

Almost surely, 22107685493369 is an apocalyptic number.

2107685493369 is the 1451787-th square number.

2107685493369 is the 725894-th centered octagonal number.

It is an amenable number.

2107685493369 is a deficient number, since it is larger than the sum of its proper divisors (936755399254).

2107685493369 is an frugal number, since it uses more digits than its factorization.

2107685493369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967864 (or 483932 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 2107685493369 in words is "two trillion, one hundred seven billion, six hundred eighty-five million, four hundred ninety-three thousand, three hundred sixty-nine".

Divisors: 1 3 9 483929 1451787 4355361 234187277041 702561831123 2107685493369