Search a number
-
+
106078194989 = 1342135575449
BaseRepresentation
bin110001011001011000…
…0001100110100101101
3101010210202211122021122
41202302300030310231
53214222004214424
6120422011510325
710443500531414
oct1426260146455
9333722748248
10106078194989
1140a95414a48
12186854583a5
13a006b56120
1451c43c647b
152b5cb6b45e
hex18b2c0cd2d

106078194989 has 16 divisors (see below), whose sum is σ = 114562618800. Its totient is φ = 97640363520.

The previous prime is 106078194931. The next prime is 106078195019. The reversal of 106078194989 is 989491870601.

It can be written as a sum of positive squares in 8 ways, for example, as 74779277764 + 31298917225 = 273458^2 + 176915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106078194989 is a prime.

It is a super-2 number, since 2×1060781949892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106078194589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19464737 + ... + 19470185.

It is an arithmetic number, because the mean of its divisors is an integer number (7160163675).

Almost surely, 2106078194989 is an apocalyptic number.

It is an amenable number.

106078194989 is a deficient number, since it is larger than the sum of its proper divisors (8484423811).

106078194989 is a wasteful number, since it uses less digits than its factorization.

106078194989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440.

The product of its (nonzero) digits is 7838208, while the sum is 62.

The spelling of 106078194989 in words is "one hundred six billion, seventy-eight million, one hundred ninety-four thousand, nine hundred eighty-nine".

Divisors: 1 13 421 3557 5449 5473 46241 70837 1497497 2294029 19382093 19467461 29822377 251967209 8159861153 106078194989