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355098001801 = 172350532
BaseRepresentation
bin1010010101011010111…
…11011000000110001001
31020221120101112112010111
411022231133120012021
521304220042024201
6431044010314321
734440442133164
oct5125537300611
91227511475114
10355098001801
11127661623584
12589a17289a1
1327640b2133a
1413288964adb
1593848b7b51
hex52ad7d8189

355098001801 has 9 divisors (see below), whose sum is σ = 377225593941. Its totient is φ = 334200349632.

The previous prime is 355098001789. The next prime is 355098001829. The reversal of 355098001801 is 108100890553.

The square root of 355098001801 is 595901.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1810417401 + 353287584400 = 42549^2 + 594380^2 .

It is not a de Polignac number, because 355098001801 - 225 = 355064447369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355098001831) 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 8 ways as a sum of consecutive naturals, for example, 10112791 + ... + 10147843.

Almost surely, 2355098001801 is an apocalyptic number.

355098001801 is the 595901-st square number.

355098001801 is the 297951-st centered octagonal number.

It is an amenable number.

355098001801 is a deficient number, since it is larger than the sum of its proper divisors (22127592140).

355098001801 is an frugal number, since it uses more digits than its factorization.

355098001801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70140 (or 35070 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 355098001801 in words is "three hundred fifty-five billion, ninety-eight million, one thousand, eight hundred one".

Divisors: 1 17 289 35053 595901 10130317 1228712809 20888117753 355098001801