Search a number
-
+
553352444253353 = 172291931933176977
BaseRepresentation
bin111110111010001010110011…
…1111000000001010010101001
32200120020222101021001022122102
41331310111213320001102221
51040012111301212101403
65240514334210103145
7224361252262516343
oct17564254770012251
92616228337038572
10553352444253353
111503514a9a04678
125208b4b1b7aab5
131a99bbb09c6624
149a90588c8c293
1543e8e786bdb88
hex1f74567e014a9

553352444253353 has 48 divisors (see below), whose sum is σ = 611557241106480. Its totient is φ = 499976579579904.

The previous prime is 553352444253347. The next prime is 553352444253383. The reversal of 553352444253353 is 353352444253355.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 211829773423129 + 341522670830224 = 14554373^2 + 18480332^2 .

It is not a de Polignac number, because 553352444253353 - 210 = 553352444252329 is a prime.

It is a super-2 number, since 2×5533524442533532 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (553352444253313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3126602801 + ... + 3126779777.

It is an arithmetic number, because the mean of its divisors is an integer number (12740775856385).

Almost surely, 2553352444253353 is an apocalyptic number.

It is an amenable number.

553352444253353 is a deficient number, since it is larger than the sum of its proper divisors (58204796853127).

553352444253353 is a wasteful number, since it uses less digits than its factorization.

553352444253353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179166 (or 179149 counting only the distinct ones).

The product of its digits is 194400000, while the sum is 56.

The spelling of 553352444253353 in words is "five hundred fifty-three trillion, three hundred fifty-two billion, four hundred forty-four million, two hundred fifty-three thousand, three hundred fifty-three".

Divisors: 1 17 29 193 289 493 1933 3281 5597 8381 32861 55777 56057 95149 176977 373069 558637 952969 1617533 3008609 5132333 6342173 10819001 16200473 34156561 51146353 87249661 107816941 183923017 342096541 580661537 990540269 1483244237 3126691289 5815641197 9871246129 9920799689 16839184573 66024632413 98865900349 168653594713 286266137741 1122418751021 1914714339977 2867111110121 19081118767357 32550143779609 553352444253353