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358488390121 = 103258132
BaseRepresentation
bin1010011011101111001…
…00101011100111101001
31021021022200011002120021
411031313210223213221
521333141011440441
6432404242200441
734620451016221
oct5156744534751
91237280132507
10358488390121
111290413944a4
1259589053121
1327a61360284
14134cad4d081
1594d23723d1
hex537792b9e9

358488390121 has 9 divisors (see below), whose sum is σ = 362064936279. Its totient is φ = 354946848936.

The previous prime is 358488390119. The next prime is 358488390191. The reversal of 358488390121 is 121093884853.

It is a happy number.

The square root of 358488390121 is 598739.

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., 249035931225 + 109452458896 = 499035^2 + 330836^2 .

It is not a de Polignac number, because 358488390121 - 21 = 358488390119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (358488390191) 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, 61667211 + ... + 61673023.

Almost surely, 2358488390121 is an apocalyptic number.

358488390121 is the 598739-th square number.

358488390121 is the 299370-th centered octagonal number.

It is an amenable number.

358488390121 is a deficient number, since it is larger than the sum of its proper divisors (3576546158).

358488390121 is an frugal number, since it uses more digits than its factorization.

358488390121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11832 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 358488390121 in words is "three hundred fifty-eight billion, four hundred eighty-eight million, three hundred ninety thousand, one hundred twenty-one".

Divisors: 1 103 5813 10609 598739 33790969 61670117 3480469807 358488390121