Search a number
-
+
106616162152 = 23371093304493
BaseRepresentation
bin110001101001011010…
…0011000011101101000
3101012012021010012111101
41203102310120131220
53221322214142102
6120551230211144
710463022265663
oct1432264303550
9335167105441
10106616162152
1141241053705
12187b5653ab4
13a0914426a6
145235a226da
152b8eed3e87
hex18d2d18768

106616162152 has 32 divisors (see below), whose sum is σ = 207191773800. Its totient is φ = 51391459584.

The previous prime is 106616162143. The next prime is 106616162197. The reversal of 106616162152 is 251261616601.

It can be written as a sum of positive squares in 4 ways, for example, as 106410354436 + 205807716 = 326206^2 + 14346^2 .

It is a super-2 number, since 2×1066161621522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1619983 + ... + 1684510.

Almost surely, 2106616162152 is an apocalyptic number.

It is an amenable number.

106616162152 is a deficient number, since it is larger than the sum of its proper divisors (100575611648).

106616162152 is a wasteful number, since it uses less digits than its factorization.

106616162152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304645 (or 3304641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

Adding to 106616162152 its reverse (251261616601), we get a palindrome (357877778753).

The spelling of 106616162152 in words is "one hundred six billion, six hundred sixteen million, one hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 37 74 109 148 218 296 436 872 4033 8066 16132 32264 3304493 6608986 13217972 26435944 122266241 244532482 360189737 489064964 720379474 978129928 1440758948 2881517896 13327020269 26654040538 53308081076 106616162152