Search a number
-
+
52449300394425 = 335211232919753759
BaseRepresentation
bin10111110110011110011011…
…11010110011000110111001
320212201002210220222000022000
423323033031322303012321
523333312131400110200
6303314513113051213
714022223362313434
oct1373171572630671
9225632726860260
1052449300394425
11157916947a42a0
125a710386b6b09
132335c424336ac
14cd47b9ab681b
1560e4d7785300
hex2fb3cdeb31b9

52449300394425 has 384 divisors, whose sum is σ = 114040700928000. Its totient is φ = 23365893196800.

The previous prime is 52449300394423. The next prime is 52449300394441.

It is a happy number.

52449300394425 is a `hidden beast` number, since 5 + 2 + 44 + 93 + 0 + 0 + 3 + 94 + 425 = 666.

52449300394425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52449300394425 - 21 = 52449300394423 is a prime.

It is a super-2 number, since 2×524493003944252 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52449300394423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 975610696 + ... + 975664454.

It is an arithmetic number, because the mean of its divisors is an integer number (296980992000).

Almost surely, 252449300394425 is an apocalyptic number.

52449300394425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52449300394425 is an abundant number, since it is smaller than the sum of its proper divisors (61591400533575).

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

52449300394425 is a wasteful number, since it uses less digits than its factorization.

52449300394425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54038 (or 54027 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 52449300394425 in words is "fifty-two trillion, four hundred forty-nine billion, three hundred million, three hundred ninety-four thousand, four hundred twenty-five".