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309648285274276 = 22132101267012
BaseRepresentation
bin100011001100111111001110…
…0000011001001000010100100
31111121101002100101212112211101
41012121332130003021002210
5311041234142012234101
63014322243010045444
7122136231112242634
oct10631763403110244
91447332311775741
10309648285274276
118a7331115833a3
122a88bab4279884
13103a192865a900
1456670b24966c4
1525be9e0e3b401
hex1199f9c0c90a4

309648285274276 has 81 divisors (see below), whose sum is σ = 592729961538729. Its totient is φ = 141478481040000.

The previous prime is 309648285274271. The next prime is 309648285274291. The reversal of 309648285274276 is 672472582846903.

The square root of 309648285274276 is 17596826.

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 124895599948900 + 184752685325376 = 11175670^2 + 13592376^2 .

It is a super-2 number, since 2×3096482852742762 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 309648285274199 and 309648285274208.

It is not an unprimeable number, because it can be changed into a prime (309648285274271) 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, 46209261726 + ... + 46209268426.

Almost surely, 2309648285274276 is an apocalyptic number.

309648285274276 is the 17596826-th square number.

It is an amenable number.

309648285274276 is a deficient number, since it is larger than the sum of its proper divisors (283081676264453).

309648285274276 is an frugal number, since it uses more digits than its factorization.

309648285274276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 73.

The spelling of 309648285274276 in words is "three hundred nine trillion, six hundred forty-eight billion, two hundred eighty-five million, two hundred seventy-four thousand, two hundred seventy-six".

Divisors: 1 2 4 13 26 52 101 169 202 338 404 676 1313 2626 5252 6701 10201 13402 17069 20402 26804 34138 40804 68276 87113 132613 174226 265226 348452 530452 676801 1132469 1353602 1723969 2264938 2707204 3447938 4529876 6895876 8798413 17596826 35193652 44903401 68356901 89806802 114379369 136713802 179613604 228758738 273427604 457517476 583744213 888639713 1167488426 1777279426 2334976852 3554558852 4535243501 7588674769 9070487002 11552316269 15177349538 18140974004 23104632538 30354699076 46209265076 58958165513 117916331026 235832662052 458059593601 766456151669 916119187202 1532912303338 1832238374404 3065824606676 5954774716813 11909549433626 23819098867252 77412071318569 154824142637138 309648285274276