Search a number
-
+
2525722275252 = 22311237173331821
BaseRepresentation
bin100100110000010000110…
…001110110110110110100
322221110022221001112101210
4210300100301312312310
5312340134400302002
65212144545521420
7350322516053511
oct44602061666664
98843287045353
102525722275252
11894175419400
12349603343270
13154236756957
148a361d52308
1545a76e0596c
hex24c10c76db4

2525722275252 has 288 divisors, whose sum is σ = 6719739207552. Its totient is φ = 737244288000.

The previous prime is 2525722275229. The next prime is 2525722275253.

It is a happy number.

2525722275252 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525722275253) 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 95 ways as a sum of consecutive naturals, for example, 3076397002 + ... + 3076397822.

It is an arithmetic number, because the mean of its divisors is an integer number (23332427804).

Almost surely, 22525722275252 is an apocalyptic number.

2525722275252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525722275252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359869603776).

2525722275252 is an abundant number, since it is smaller than the sum of its proper divisors (4194016932300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2525722275252 is a wasteful number, since it uses less digits than its factorization.

2525722275252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1378 counting only the distinct ones).

The product of its digits is 3920000, while the sum is 48.

The spelling of 2525722275252 in words is "two trillion, five hundred twenty-five billion, seven hundred twenty-two million, two hundred seventy-five thousand, two hundred fifty-two".