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352428633649 = 1724727432
BaseRepresentation
bin1010010000011100110…
…00100010111000110001
31020200200100122120102101
411020032120202320301
521233233212234044
6425523052420401
734314336646561
oct5101630427061
91220610576371
10352428633649
111265118597a4
1258377777701
1327306aa1361
14130b4226da1
15927a383cd4
hex520e622e31

352428633649 has 27 divisors (see below), whose sum is σ = 383029716907. Its totient is φ = 324203211584.

The previous prime is 352428633647. The next prime is 352428633671. The reversal of 352428633649 is 946336824253.

The square root of 352428633649 is 593657.

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., 274382154225 + 78046479424 = 523815^2 + 279368^2 .

It is not a de Polignac number, because 352428633649 - 21 = 352428633647 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 352428633649.

It is not an unprimeable number, because it can be changed into a prime (352428633647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 474331572 + ... + 474332314.

Almost surely, 2352428633649 is an apocalyptic number.

352428633649 is the 593657-th square number.

352428633649 is the 296829-th centered octagonal number.

It is an amenable number.

352428633649 is a deficient number, since it is larger than the sum of its proper divisors (30601083258).

352428633649 is an frugal number, since it uses more digits than its factorization.

352428633649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 807 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 55.

The spelling of 352428633649 in words is "three hundred fifty-two billion, four hundred twenty-eight million, six hundred thirty-three thousand, six hundred forty-nine".

Divisors: 1 17 47 289 743 799 2209 12631 13583 34921 37553 214727 552049 593657 638401 1641287 9384833 10092169 25946303 27901879 159542161 441087151 474331943 1219476241 7498481567 20731096097 352428633649