Search a number
-
+
1067117924196 = 22321721692
BaseRepresentation
bin11111000011101010010…
…11110100111101100100
310210000102021122020121100
433201311023310331210
5114440424142033241
62134121024320100
7140045114460222
oct17416513647544
93700367566540
101067117924196
11381620280835
12152993773030
13798235a9a9c
1439912391b12
151cb58d289b6
hexf8752f4f64

1067117924196 has 27 divisors (see below), whose sum is σ = 2697452642521. Its totient is φ = 355703908704.

The previous prime is 1067117924177. The next prime is 1067117924233. The reversal of 1067117924196 is 6914297117601.

It is a happy number.

The square root of 1067117924196 is 1033014.

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

1067117924196 is a `hidden beast` number, since 106 + 7 + 117 + 9 + 2 + 419 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1027818826596 + 39299097600 = 1013814^2 + 198240^2 .

It is a super-2 number, since 2×10671179241962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6112000 + ... + 6284168.

Almost surely, 21067117924196 is an apocalyptic number.

1067117924196 is the 1033014-th square number.

It is an amenable number.

1067117924196 is an abundant number, since it is smaller than the sum of its proper divisors (1630334718325).

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

1067117924196 is an frugal number, since it uses more digits than its factorization.

1067117924196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344348 (or 172174 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 1067117924196 in words is "one trillion, sixty-seven billion, one hundred seventeen million, nine hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 172169 344338 516507 688676 1033014 1549521 2066028 3099042 6198084 29642164561 59284329122 88926493683 118568658244 177852987366 266779481049 355705974732 533558962098 1067117924196