Search a number
-
+
35425403231725 = 5213177387833393
BaseRepresentation
bin10000000111000000111101…
…00100110101110111101101
311122102122011021001010122101
420003200132210311313231
514120402211211403400
6203202112223215101
710314254342065423
oct1003403644656755
9148378137033571
1035425403231725
11103189136499a1
123b8181ba47491
13169c7a7a7b5c0
148a6854a45113
154167691b756a
hex20381e935ded

35425403231725 has 48 divisors (see below), whose sum is σ = 50775431070672. Its totient is φ = 24284176220160.

The previous prime is 35425403231681. The next prime is 35425403231731. The reversal of 35425403231725 is 52713230452453.

35425403231725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 19628896063401 + 15796507168324 = 4430451^2 + 3974482^2 .

It is not a de Polignac number, because 35425403231725 - 29 = 35425403231213 is a prime.

It is a super-3 number, since 3×354254032317253 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43513372 + ... + 44320021.

It is an arithmetic number, because the mean of its divisors is an integer number (1057821480639).

Almost surely, 235425403231725 is an apocalyptic number.

It is an amenable number.

35425403231725 is a deficient number, since it is larger than the sum of its proper divisors (15350027838947).

35425403231725 is a wasteful number, since it uses less digits than its factorization.

35425403231725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87833506 (or 87833501 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 46.

The spelling of 35425403231725 in words is "thirty-five trillion, four hundred twenty-five billion, four hundred three million, two hundred thirty-one thousand, seven hundred twenty-five".

Divisors: 1 5 13 17 25 65 73 85 221 325 365 425 949 1105 1241 1825 4745 5525 6205 16133 23725 31025 80665 403325 87833393 439166965 1141834109 1493167681 2195834825 5709170545 6411837689 7465838405 19411179853 28545852725 32059188445 37329192025 83353889957 97055899265 109001240713 160295942225 416769449785 485279496325 545006203565 1417016129269 2083847248925 2725031017825 7085080646345 35425403231725