Search a number
-
+
1005132150563 = 377117310332141
BaseRepresentation
bin11101010000001101000…
…10110111011100100011
310120002102101110200112112
432220012202313130203
5112432002312304223
62045430142145535
7132422053212062
oct16500642673443
93502371420475
101005132150563
11358301993642
121429748822ab
1373a25616a18
1436911ca81d9
151b22c0c3778
hexea068b7723

1005132150563 has 32 divisors (see below), whose sum is σ = 1054399876992. Its totient is φ = 957243571200.

The previous prime is 1005132150511. The next prime is 1005132150611. The reversal of 1005132150563 is 3650512315001.

1005132150563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1005132150563 - 26 = 1005132150499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005132120563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469467473 + ... + 469469613.

It is an arithmetic number, because the mean of its divisors is an integer number (32949996156).

Almost surely, 21005132150563 is an apocalyptic number.

1005132150563 is a deficient number, since it is larger than the sum of its proper divisors (49267726429).

1005132150563 is a wasteful number, since it uses less digits than its factorization.

1005132150563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455.

The product of its (nonzero) digits is 13500, while the sum is 32.

Adding to 1005132150563 its reverse (3650512315001), we get a palindrome (4655644465564).

The spelling of 1005132150563 in words is "one trillion, five billion, one hundred thirty-two million, one hundred fifty thousand, five hundred sixty-three".

Divisors: 1 37 71 173 1033 2141 2627 6401 12283 38221 73343 79217 152011 178709 370393 454471 2211653 2713691 5624407 6612233 12688339 13704541 26297903 81831161 157027363 382615969 469468543 973022411 5810012431 14156790853 27165733799 1005132150563