Search a number
-
+
253362505050 = 23252563027789
BaseRepresentation
bin1110101111110110010…
…1010000010101011010
3220012222021020210220100
43223331211100111122
513122341300130200
6312220525440230
724206362521324
oct3537545202532
9805867223810
10253362505050
11984a5590046
124112a710076
131ab798b7455
14c39721c614
1568cd116d00
hex3afd95055a

253362505050 has 36 divisors (see below), whose sum is σ = 680700598110. Its totient is φ = 67563334560.

The previous prime is 253362505021. The next prime is 253362505051. The reversal of 253362505050 is 50505263352.

253362505050 is a `hidden beast` number, since 2 + 533 + 6 + 25 + 0 + 50 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 169268884929 + 84093620121 = 411423^2 + 289989^2 .

It is a super-2 number, since 2×2533625050502 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 253362504996 and 253362505014.

It is not an unprimeable number, because it can be changed into a prime (253362505051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 281513445 + ... + 281514344.

Almost surely, 2253362505050 is an apocalyptic number.

253362505050 is an abundant number, since it is smaller than the sum of its proper divisors (427338093060).

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

253362505050 is a wasteful number, since it uses less digits than its factorization.

253362505050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563027807 (or 563027799 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 253362505050 in words is "two hundred fifty-three billion, three hundred sixty-two million, five hundred five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 563027789 1126055578 1689083367 2815138945 3378166734 5067250101 5630277890 8445416835 10134500202 14075694725 16890833670 25336250505 28151389450 42227084175 50672501010 84454168350 126681252525 253362505050