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355062248641 = 97261432
BaseRepresentation
bin1010010101010110101…
…10111111010011000001
31020221110220021002000101
411022223112333103001
521304131413424031
6431040252122401
734436526213442
oct5125326772301
91227426232011
10355062248641
11127643423711
1258991766401
13276365b3819
1413283cd92c9
1593816a4361
hex52ab5bf4c1

355062248641 has 9 divisors (see below), whose sum is σ = 358818831651. Its totient is φ = 351344609472.

The previous prime is 355062248621. The next prime is 355062248729. The reversal of 355062248641 is 146842260553.

It is a happy number.

The square root of 355062248641 is 595871.

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., 159436497025 + 195625751616 = 399295^2 + 442296^2 .

It is not a de Polignac number, because 355062248641 - 29 = 355062248129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 355062248591 and 355062248600.

It is not an unprimeable number, because it can be changed into a prime (355062248621) 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, 57796416 + ... + 57802558.

Almost surely, 2355062248641 is an apocalyptic number.

355062248641 is the 595871-st square number.

355062248641 is the 297936-th centered octagonal number.

It is an amenable number.

355062248641 is a deficient number, since it is larger than the sum of its proper divisors (3756583010).

355062248641 is an frugal number, since it uses more digits than its factorization.

355062248641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 355062248641 in words is "three hundred fifty-five billion, sixty-two million, two hundred forty-eight thousand, six hundred forty-one".

Divisors: 1 97 6143 9409 595871 37736449 57799487 3660435553 355062248641