Search a number
-
+
106616055609 = 3273617467879
BaseRepresentation
bin110001101001011001…
…1111110011100111001
3101012012020220210100100
41203102303332130321
53221322202234414
6120551224030013
710463021343240
oct1432263763471
9335166823310
10106616055609
1141240a90658
12187b5602309
13a09140604b
1452359d5957
152b8eeb2609
hex18d2cfe739

106616055609 has 24 divisors (see below), whose sum is σ = 176050143360. Its totient is φ = 60906486528.

The previous prime is 106616055599. The next prime is 106616055731. The reversal of 106616055609 is 906550616601.

106616055609 is a `hidden beast` number, since 10 + 66 + 16 + 0 + 5 + 560 + 9 = 666.

It is not a de Polignac number, because 106616055609 - 28 = 106616055353 is a prime.

It is a super-2 number, since 2×1066160556092 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106616054609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6069 + ... + 461810.

It is an arithmetic number, because the mean of its divisors is an integer number (7335422640).

Almost surely, 2106616055609 is an apocalyptic number.

It is an amenable number.

106616055609 is a deficient number, since it is larger than the sum of its proper divisors (69434087751).

106616055609 is a wasteful number, since it uses less digits than its factorization.

106616055609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471509 (or 471506 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 106616055609 in words is "one hundred six billion, six hundred sixteen million, fifty-five thousand, six hundred nine".

Divisors: 1 3 7 9 21 63 3617 10851 25319 32553 75957 227871 467879 1403637 3275153 4210911 9825459 29476377 1692318343 5076955029 11846228401 15230865087 35538685203 106616055609