Search a number
-
+
296955244096 = 26723722632
BaseRepresentation
bin1000101001000111110…
…10010110111001000000
31001101111022200101211221
410110203322112321000
514331131020302341
6344230325244424
730311553633100
oct4244372267100
91041438611757
10296955244096
11104a35548105
1249675863714
13220060a6bb4
1410530a09200
157ad0228ed1
hex4523e96e40

296955244096 has 189 divisors, whose sum is σ = 707194060209. Its totient is φ = 123356072448.

The previous prime is 296955244057. The next prime is 296955244099. The reversal of 296955244096 is 690442559692.

The square root of 296955244096 is 544936.

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., 265719630400 + 31235613696 = 515480^2 + 176736^2 .

It is a super-2 number, since 2×2969552440962 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (296955244099) 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 26 ways as a sum of consecutive naturals, for example, 1129107261 + ... + 1129107523.

Almost surely, 2296955244096 is an apocalyptic number.

296955244096 is the 544936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296955244096

296955244096 is an abundant number, since it is smaller than the sum of its proper divisors (410238816113).

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

296955244096 is an frugal number, since it uses more digits than its factorization.

296955244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 61.

The spelling of 296955244096 in words is "two hundred ninety-six billion, nine hundred fifty-five million, two hundred forty-four thousand, ninety-six".