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3253402230961 = 472383772
BaseRepresentation
bin101111010101111101111…
…000100110000010110001
3102112000121012021101001111
4233111331320212002301
5411300431432342321
610530331540433321
7454023224452411
oct57257570460261
912460535241044
103253402230961
11104483a81a453
124466459a8841
131a7a437161bc
14b36734d6641
15599660a65e1
hex2f57de260b1

3253402230961 has 9 divisors (see below), whose sum is σ = 3324182968299. Its totient is φ = 3184097935824.

The previous prime is 3253402230937. The next prime is 3253402230971. The reversal of 3253402230961 is 1690322043523.

The square root of 3253402230961 is 1803719.

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

It can be written as a sum of positive squares in only one way, i.e., 4237359025 + 3249164871936 = 65095^2 + 1802544^2 .

It is not a de Polignac number, because 3253402230961 - 25 = 3253402230929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3253402230971) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 84755605 + ... + 84793981.

Almost surely, 23253402230961 is an apocalyptic number.

3253402230961 is the 1803719-th square number.

3253402230961 is the 901860-th centered octagonal number.

It is an amenable number.

3253402230961 is a deficient number, since it is larger than the sum of its proper divisors (70780737338).

3253402230961 is an frugal number, since it uses more digits than its factorization.

3253402230961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76848 (or 38424 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 3253402230961 in words is "three trillion, two hundred fifty-three billion, four hundred two million, two hundred thirty thousand, nine hundred sixty-one".

Divisors: 1 47 2209 38377 1803719 84774793 1472794129 69221324063 3253402230961