Search a number
-
+
329927902025 = 52371768120173
BaseRepresentation
bin1001100110100010011…
…11000100001101001001
31011112121020112222021212
410303101033010031021
520401143020331100
6411322231542505
732556630616121
oct4632117041511
91145536488255
10329927902025
11117a15777027
1253b3822aa35
132515c29c287
1411d7bb7dc81
1588aece5635
hex4cd13c4349

329927902025 has 24 divisors (see below), whose sum is σ = 420212234904. Its totient is φ = 256781491200.

The previous prime is 329927901971. The next prime is 329927902097. The reversal of 329927902025 is 520209729923.

It can be written as a sum of positive squares in 12 ways, for example, as 944209984 + 328983692041 = 30728^2 + 573571^2 .

It is not a de Polignac number, because 329927902025 - 210 = 329927901001 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16344839 + ... + 16365011.

It is an arithmetic number, because the mean of its divisors is an integer number (17508843121).

Almost surely, 2329927902025 is an apocalyptic number.

It is an amenable number.

329927902025 is a deficient number, since it is larger than the sum of its proper divisors (90284332879).

329927902025 is a wasteful number, since it uses less digits than its factorization.

329927902025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37901 (or 37896 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 329927902025 in words is "three hundred twenty-nine billion, nine hundred twenty-seven million, nine hundred two thousand, twenty-five".

Divisors: 1 5 25 37 185 925 17681 20173 88405 100865 442025 504325 654197 746401 3270985 3732005 16354925 18660025 356678813 1783394065 8916970325 13197116081 65985580405 329927902025