Search a number
-
+
38882712969 = 32657292
BaseRepresentation
bin100100001101100101…
…110001110110001001
310201100210200110211100
4210031211301312021
51114112433303334
625510143252013
72544356415132
oct441545616611
9121323613740
1038882712969
1115543306831
1276518aa009
13388875b289
141c4c04cc89
151028888c99
hex90d971d89

38882712969 has 9 divisors (see below), whose sum is σ = 56164773223. Its totient is φ = 25921414272.

The previous prime is 38882712959. The next prime is 38882712989. The reversal of 38882712969 is 96921728883.

The square root of 38882712969 is 197187.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29527954569 + 9354758400 = 171837^2 + 96720^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 38882712969 - 25 = 38882712937 is a prime.

It is a super-2 number, since 2×388827129692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38882712959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 558697 + ... + 624425.

Almost surely, 238882712969 is an apocalyptic number.

38882712969 is the 197187-th square number.

38882712969 is the 98594-th centered octagonal number.

It is an amenable number.

38882712969 is a deficient number, since it is larger than the sum of its proper divisors (17282060254).

38882712969 is an frugal number, since it uses more digits than its factorization.

38882712969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131464 (or 65732 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 38882712969 in words is "thirty-eight billion, eight hundred eighty-two million, seven hundred twelve thousand, nine hundred sixty-nine".

Divisors: 1 3 9 65729 197187 591561 4320301441 12960904323 38882712969