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305299346521 = 13219222372
BaseRepresentation
bin1000111000101010100…
…00100101010001011001
31002012000211120201112111
410130111100211101121
520000223113042041
6352130320312321
731025413425241
oct4342520452131
91065024521474
10305299346521
11108527581824
124b2041726a1
1322a359b9a00
1410ac2c86b21
157e1ca45981
hex4715425459

305299346521 has 27 divisors (see below), whose sum is σ = 349061715261. Its totient is φ = 266863076064.

The previous prime is 305299346509. The next prime is 305299346549. The reversal of 305299346521 is 125643992503.

It is a happy number.

The square root of 305299346521 is 552539.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1698346521 + 303601000000 = 41211^2 + 551000^2 .

It is a de Polignac number, because none of the positive numbers 2k-305299346521 is a prime.

It is a super-2 number, since 2×3052993465212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305299346551) 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, 136476015 + ... + 136478251.

Almost surely, 2305299346521 is an apocalyptic number.

305299346521 is the 552539-th square number.

305299346521 is the 276270-th centered octagonal number.

It is an amenable number.

305299346521 is a deficient number, since it is larger than the sum of its proper divisors (43762368740).

305299346521 is an frugal number, since it uses more digits than its factorization.

305299346521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

Multiplying 305299346521 by its sum of digits (49), we get a square (14959667979529 = 38677732).

The spelling of 305299346521 in words is "three hundred five billion, two hundred ninety-nine million, three hundred forty-six thousand, five hundred twenty-one".

Divisors: 1 13 19 169 247 361 2237 3211 4693 29081 42503 61009 378053 552539 807557 5004169 7183007 10498241 65054197 95079211 136477133 845704561 1236029743 1806505009 16068386659 23484565117 305299346521