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356128465225 = 5213291812
BaseRepresentation
bin1010010111010101110…
…10010010000101001001
31021001020012112111012111
411023222322102011021
521313322341341400
6431334140542321
734505124002551
oct5135272220511
91231205474174
10356128465225
11128040263a45
125902a8519a1
1327776466400
1413345762161
1593e50b53ba
hex52eae92149

356128465225 has 27 divisors (see below), whose sum is σ = 478233576639. Its totient is φ = 262958529600.

The previous prime is 356128465223. The next prime is 356128465229. The reversal of 356128465225 is 522564821653.

The square root of 356128465225 is 596765.

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

It can be written as a sum of positive squares in 13 ways, for example, as 301766744889 + 54361720336 = 549333^2 + 233156^2 .

It is not a de Polignac number, because 356128465225 - 21 = 356128465223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (356128465223) 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, 38785135 + ... + 38794315.

Almost surely, 2356128465225 is an apocalyptic number.

356128465225 is the 596765-th square number.

356128465225 is the 298383-rd centered octagonal number.

It is an amenable number.

356128465225 is a deficient number, since it is larger than the sum of its proper divisors (122105111414).

356128465225 is an frugal number, since it uses more digits than its factorization.

356128465225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18398 (or 9199 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 49.

Multiplying 356128465225 by its sum of digits (49), we get a square (17450294796025 = 41773552).

The spelling of 356128465225 in words is "three hundred fifty-six billion, one hundred twenty-eight million, four hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 9181 45905 119353 229525 596765 1551589 2983825 7757945 38789725 84290761 421453805 1095779893 2107269025 5478899465 14245138609 27394497325 71225693045 356128465225