Search a number
-
+
2138328963 = 34209912577
BaseRepresentation
bin111111101110100…
…0100111110000011
312112000122100220000
41333131010332003
513334403011323
6552103451043
7103663332141
oct17735047603
95460570800
102138328963
119a8038221
124b8156a83
1328101ac14
14163dc6591
15c7ad8e43
hex7f744f83

2138328963 has 20 divisors (see below), whose sum is σ = 3196069800. Its totient is φ = 1424760192.

The previous prime is 2138328961. The next prime is 2138328971. The reversal of 2138328963 is 3698238312.

It is not a de Polignac number, because 2138328963 - 21 = 2138328961 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2138328961) 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 19 ways as a sum of consecutive naturals, for example, 163731 + ... + 176307.

It is an arithmetic number, because the mean of its divisors is an integer number (159803490).

Almost surely, 22138328963 is an apocalyptic number.

2138328963 is a deficient number, since it is larger than the sum of its proper divisors (1057740837).

2138328963 is a wasteful number, since it uses less digits than its factorization.

2138328963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 14679 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2138328963 is about 46242.0691902947. The cubic root of 2138328963 is about 1288.3232351929.

The spelling of 2138328963 in words is "two billion, one hundred thirty-eight million, three hundred twenty-eight thousand, nine hundred sixty-three".

Divisors: 1 3 9 27 81 2099 6297 12577 18891 37731 56673 113193 170019 339579 1018737 26399123 79197369 237592107 712776321 2138328963