Search a number
-
+
1006923963249 = 321031108516431
BaseRepresentation
bin11101010011100010101…
…10000101101101110001
310120021001021002012110100
432221301112011231301
5112444140013310444
62050324031023013
7132514341316551
oct16516126055561
93507037065410
101006923963249
11359041365a76
1214319496aa69
1373c4c8cb309
1436a41c4d161
151b2d4560e69
hexea71585b71

1006923963249 has 12 divisors (see below), whose sum is σ = 1455856451712. Its totient is φ = 670631537400.

The previous prime is 1006923963247. The next prime is 1006923963263. The reversal of 1006923963249 is 9423693296001.

1006923963249 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 9 + 2 + 396 + 3 + 249 = 666.

It is not a de Polignac number, because 1006923963249 - 21 = 1006923963247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006923963195 and 1006923963204.

It is not an unprimeable number, because it can be changed into a prime (1006923963247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54248937 + ... + 54267494.

It is an arithmetic number, because the mean of its divisors is an integer number (121321370976).

Almost surely, 21006923963249 is an apocalyptic number.

It is an amenable number.

1006923963249 is a deficient number, since it is larger than the sum of its proper divisors (448932488463).

1006923963249 is a wasteful number, since it uses less digits than its factorization.

1006923963249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108517468 (or 108517465 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 1006923963249 in words is "one trillion, six billion, nine hundred twenty-three million, nine hundred sixty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 1031 3093 9279 108516431 325549293 976647879 111880440361 335641321083 1006923963249