Search a number
-
+
1000613355642 = 232311793213899
BaseRepresentation
bin11101000111110010011…
…01000010000001111010
310112122202110120010020200
432203321031002001322
5112343224004340032
62043401520503030
7132202063121625
oct16437115020172
93478673503220
101000613355642
113563a317608a
12141b1347aa76
137348538c484
1436603aa8dbc
151b06552147c
hexe8f934207a

1000613355642 has 24 divisors (see below), whose sum is σ = 2237930947200. Its totient is φ = 322778501640.

The previous prime is 1000613355641. The next prime is 1000613355647. The reversal of 1000613355642 is 2465533160001.

1000613355642 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 1 + 3 + 3 + 5 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1000613355597 and 1000613355606.

It is not an unprimeable number, because it can be changed into a prime (1000613355641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 896606392 + ... + 896607507.

It is an arithmetic number, because the mean of its divisors is an integer number (93247122800).

Almost surely, 21000613355642 is an apocalyptic number.

1000613355642 is an abundant number, since it is smaller than the sum of its proper divisors (1237317591558).

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

1000613355642 is a wasteful number, since it uses less digits than its factorization.

1000613355642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793213938 (or 1793213935 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1000613355642 in words is "one trillion, six hundred thirteen million, three hundred fifty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1793213899 3586427798 5379641697 10759283394 16138925091 32277850182 55589630869 111179261738 166768892607 333537785214 500306677821 1000613355642