Search a number
-
+
355540832641 = 3753181305881
BaseRepresentation
bin1010010110001111110…
…00101001000110000001
31020222201020210122211201
411023013320221012001
521311121423121031
6431155545541201
734454430133201
oct5130770510601
91228636718751
10355540832641
11127869592985
1258aa5aa4801
13276b17aab17
14132cb6b8401
1593ad6dbd61
hex52c7e29181

355540832641 has 8 divisors (see below), whose sum is σ = 372039669864. Its totient is φ = 339404607360.

The previous prime is 355540832611. The next prime is 355540832683. The reversal of 355540832641 is 146238045553.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73796439025 + 281744393616 = 271655^2 + 530796^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 355540832641 - 237 = 218101879169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 355540832591 and 355540832600.

It is not an unprimeable number, because it can be changed into a prime (355540832611) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 90650980 + ... + 90654901.

It is an arithmetic number, because the mean of its divisors is an integer number (46504958733).

Almost surely, 2355540832641 is an apocalyptic number.

It is an amenable number.

355540832641 is a deficient number, since it is larger than the sum of its proper divisors (16498837223).

355540832641 is a wasteful number, since it uses less digits than its factorization.

355540832641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181305971.

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 355540832641 in words is "three hundred fifty-five billion, five hundred forty million, eight hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 37 53 1961 181305881 6708317597 9609211693 355540832641