Search a number
-
+
534435201225 = 325221601109961
BaseRepresentation
bin1111100011011101101…
…00100000000011001001
31220002110201010011220200
413301232310200003021
532224010402414400
61045303253042413
753416542154122
oct7615664400311
91802421104820
10534435201225
1119671a813892
12876b1326409
133b52134c3a3
141bc1c70b049
15dd7dceab00
hex7c6ed200c9

534435201225 has 36 divisors (see below), whose sum is σ = 957285846972. Its totient is φ = 285016320000.

The previous prime is 534435201203. The next prime is 534435201239. The reversal of 534435201225 is 522102534435.

534435201225 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 3 + 520 + 122 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 88510415049 + 445924786176 = 297507^2 + 667776^2 .

It is not a de Polignac number, because 534435201225 - 29 = 534435200713 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 534435201225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4805245 + ... + 4915205.

It is an arithmetic number, because the mean of its divisors is an integer number (26591273527).

Almost surely, 2534435201225 is an apocalyptic number.

It is an amenable number.

534435201225 is a deficient number, since it is larger than the sum of its proper divisors (422850645747).

534435201225 is a wasteful number, since it uses less digits than its factorization.

534435201225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131578 (or 131570 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 534435201225 in words is "five hundred thirty-four billion, four hundred thirty-five million, two hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 21601 64803 108005 109961 194409 324015 329883 540025 549805 972045 989649 1620075 1649415 2749025 4860225 4948245 8247075 24741225 2375267561 7125802683 11876337805 21377408049 35629013415 59381689025 106887040245 178145067075 534435201225