Search a number
-
+
32126619121 = 23277932
BaseRepresentation
bin11101111010111001…
…010100110111110001
310001220221220100101021
4131322321110313301
51011243403302441
622431520535441
72215061520412
oct357271246761
9101827810337
1032126619121
11126967034a3
126287181581
13304cb430cc
1417aaa63809
15c8069d3d1
hex77ae54df1

32126619121 has 9 divisors (see below), whose sum is σ = 33588469579. Its totient is φ = 30725866336.

The previous prime is 32126619097. The next prime is 32126619127. The reversal of 32126619121 is 12191662123.

The square root of 32126619121 is 179239.

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., 31323690225 + 802928896 = 176985^2 + 28336^2 .

It is a de Polignac number, because none of the positive numbers 2k-32126619121 is a prime.

It is a super-2 number, since 2×321266191212 (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 (32126619127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4118601 + ... + 4126393.

Almost surely, 232126619121 is an apocalyptic number.

32126619121 is the 179239-th square number.

32126619121 is the 89620-th centered octagonal number.

It is an amenable number.

32126619121 is a deficient number, since it is larger than the sum of its proper divisors (1461850458).

32126619121 is an frugal number, since it uses more digits than its factorization.

32126619121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15632 (or 7816 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The spelling of 32126619121 in words is "thirty-two billion, one hundred twenty-six million, six hundred nineteen thousand, one hundred twenty-one".

Divisors: 1 23 529 7793 179239 4122497 60730849 1396809527 32126619121