Search a number
-
+
355200504169 = 74121632
BaseRepresentation
bin1010010101100111001…
…10011001000101101001
31020221211112102011221111
411022303212121011221
521304422312113134
6431102111310321
734443125320000
oct5126346310551
91227745364844
10355200504169
11127704474085
1258a0bb1b3a1
132765912cb24
1413298407c37
15938d8b3c64
hex52b3999169

355200504169 has 15 divisors (see below), whose sum is σ = 414410003133. Its totient is φ = 304432543548.

The previous prime is 355200504167. The next prime is 355200504173. The reversal of 355200504169 is 961405002553.

The square root of 355200504169 is 595987.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 355200504169 - 21 = 355200504167 is a prime.

It is a super-2 number, since 2×3552005041692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (355200504161) 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 14 ways as a sum of consecutive naturals, for example, 29197282 + ... + 29209444.

Almost surely, 2355200504169 is an apocalyptic number.

355200504169 is the 595987-th square number.

355200504169 is the 297994-th centered octagonal number.

It is an amenable number.

355200504169 is a deficient number, since it is larger than the sum of its proper divisors (59209498964).

355200504169 is an frugal number, since it uses more digits than its factorization.

355200504169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354 (or 12170 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 355200504169 in words is "three hundred fifty-five billion, two hundred million, five hundred four thousand, one hundred sixty-nine".

Divisors: 1 7 49 343 2401 12163 85141 595987 4171909 29203363 147938569 1035569983 7248989881 50742929167 355200504169