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318744930625 = 5411220532
BaseRepresentation
bin1001010001101101010…
…11011010100101000001
31010110201212211011110221
410220312223122211001
520210242200240000
6402232430023041
732012540131012
oct4506653324501
91113655734427
10318744930625
111131a7227100
1251937047a81
13240994a0434
14115da881009
15845816261a
hex4a36ada941

318744930625 has 45 divisors (see below), whose sum is σ = 438018210399. Its totient is φ = 231701580000.

The previous prime is 318744930619. The next prime is 318744930653. The reversal of 318744930625 is 526039447813.

It is a happy number.

The square root of 318744930625 is 564575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 240655981489 + 78088949136 = 490567^2 + 279444^2 .

It is not a de Polignac number, because 318744930625 - 29 = 318744930113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 155257099 + ... + 155259151.

It is a 2-persistent number, because it is pandigital, and so is 2⋅318744930625 = 637489861250, but 3⋅318744930625 = 956234791875 is not.

Almost surely, 2318744930625 is an apocalyptic number.

318744930625 is the 564575-th square number.

318744930625 is the 282288-th centered octagonal number.

It is an amenable number.

318744930625 is a deficient number, since it is larger than the sum of its proper divisors (119273279774).

318744930625 is an frugal number, since it uses more digits than its factorization.

318744930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 318744930625 in words is "three hundred eighteen billion, seven hundred forty-four million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 1375 2053 3025 6875 10265 15125 22583 51325 75625 112915 248413 256625 564575 1242065 1283125 2822875 4214809 6210325 14114375 21074045 31051625 46362899 105370225 155258125 231814495 509991889 526851125 1159072475 2549959445 2634255625 5795362375 12749797225 28976811875 63748986125 318744930625