Search a number
-
+
34896961243225 = 5211814732
BaseRepresentation
bin1111110111101000101001…
…11110101000100001011001
311120120010011020012201000101
413323310110332220201121
514033222434034240400
6202115235341335401
710231136142230554
oct773642476504131
9146503136181011
1034896961243225
1110134799950584
123ab7321867561
131661a0028c843
1488904429b69b
15407b3b61356a
hex1fbd14fa8859

34896961243225 has 9 divisors (see below), whose sum is σ = 43272268567293. Its totient is φ = 27917545365120.

The previous prime is 34896961243223. The next prime is 34896961243267. The reversal of 34896961243225 is 52234216969843.

It is a happy number.

The square root of 34896961243225 is 5907365.

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 344619483849 + 34552341759376 = 587043^2 + 5878124^2 .

It is not a de Polignac number, because 34896961243225 - 21 = 34896961243223 is a prime.

It is a super-2 number, since 2×348969612432252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34896961243223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28946089 + ... + 30127561.

Almost surely, 234896961243225 is an apocalyptic number.

34896961243225 is the 5907365-th square number.

34896961243225 is the 2953683-rd centered octagonal number.

It is an amenable number.

34896961243225 is a deficient number, since it is larger than the sum of its proper divisors (8375307324068).

34896961243225 is an frugal number, since it uses more digits than its factorization.

34896961243225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362956 (or 1181478 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 64.

The spelling of 34896961243225 in words is "thirty-four trillion, eight hundred ninety-six billion, nine hundred sixty-one million, two hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 1181473 5907365 29536825 1395878449729 6979392248645 34896961243225