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8838068121 = 32313372
BaseRepresentation
bin10000011101100101…
…00011011110011001
3211210221101101020100
420032302203132121
5121100021134441
64020554250013
7432005224311
oct101662433631
924727341210
108838068121
11382594a433
121867a26909
13aab06440c
145dbb02441
1536ad91cb6
hex20eca3799

8838068121 has 9 divisors (see below), whose sum is σ = 12766505791. Its totient is φ = 5891857392.

The previous prime is 8838068093. The next prime is 8838068123. The reversal of 8838068121 is 1218608388.

The square root of 8838068121 is 94011.

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

8838068121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8435504025 + 402564096 = 91845^2 + 20064^2 .

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

It is not a de Polignac number, because 8838068121 - 25 = 8838068089 is a prime.

It is a super-2 number, since 2×88380681212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8838068123) 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, 266365 + ... + 297701.

Almost surely, 28838068121 is an apocalyptic number.

8838068121 is the 94011-st square number.

8838068121 is the 47006-th centered octagonal number.

It is an amenable number.

8838068121 is a deficient number, since it is larger than the sum of its proper divisors (3928437670).

8838068121 is an frugal number, since it uses more digits than its factorization.

8838068121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62680 (or 31340 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The cubic root of 8838068121 is about 2067.5329911340.

The spelling of 8838068121 in words is "eight billion, eight hundred thirty-eight million, sixty-eight thousand, one hundred twenty-one".

Divisors: 1 3 9 31337 94011 282033 982007569 2946022707 8838068121