Search a number
-
+
106296007842 = 2325905333769
BaseRepresentation
bin110001011111110111…
…1000101110010100010
3101011100221200200100100
41202333233011302202
53220143234222332
6120455352203230
710452054105333
oct1427757056242
9334327620310
10106296007842
1141097363a72
1218726399516
13a04000917b
1452052c428a
152b71d4367c
hex18bfbc5ca2

106296007842 has 12 divisors (see below), whose sum is σ = 230308017030. Its totient is φ = 35432002608.

The previous prime is 106296007823. The next prime is 106296007861. The reversal of 106296007842 is 248700692601.

It is a happy number.

106296007842 is a `hidden beast` number, since 10 + 6 + 29 + 600 + 7 + 8 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106296007823) and next prime (106296007861).

It can be written as a sum of positive squares in only one way, i.e., 70389926721 + 35906081121 = 265311^2 + 189489^2 .

It is a super-2 number, since 2×1062960078422 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2952666867 + ... + 2952666902.

Almost surely, 2106296007842 is an apocalyptic number.

106296007842 is an abundant number, since it is smaller than the sum of its proper divisors (124012009188).

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

106296007842 is a wasteful number, since it uses less digits than its factorization.

106296007842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905333777 (or 5905333774 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106296007842 in words is "one hundred six billion, two hundred ninety-six million, seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 5905333769 11810667538 17716001307 35432002614 53148003921 106296007842