Search a number
-
+
1006777830913 = 31659131937363
BaseRepresentation
bin11101010011010001010…
…00101000111000000001
310120020200002002220120121
432221220220220320001
5112443340111042123
62050301330540241
7132510615236011
oct16515050507001
93506602086517
101006777830913
11358a76925648
12143153a37681
1373c2855498a
1436a2a68dc41
151b2c67e775d
hexea68a28e01

1006777830913 has 16 divisors (see below), whose sum is σ = 1041648537600. Its totient is φ = 972059109840.

The previous prime is 1006777830881. The next prime is 1006777830931. The reversal of 1006777830913 is 3190387776001.

It is not a de Polignac number, because 1006777830913 - 25 = 1006777830881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006777830313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26927170 + ... + 26964532.

It is an arithmetic number, because the mean of its divisors is an integer number (65103033600).

Almost surely, 21006777830913 is an apocalyptic number.

It is an amenable number.

1006777830913 is a deficient number, since it is larger than the sum of its proper divisors (34870706687).

1006777830913 is a wasteful number, since it uses less digits than its factorization.

1006777830913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39372.

The product of its (nonzero) digits is 1333584, while the sum is 52.

The spelling of 1006777830913 in words is "one trillion, six billion, seven hundred seventy-seven million, eight hundred thirty thousand, nine hundred thirteen".

Divisors: 1 31 659 1319 20429 37363 40889 869221 1158253 24622217 26945851 49281797 763288727 1527735707 32476704223 1006777830913