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1348048713025 = 52766772
BaseRepresentation
bin10011100111011101111…
…101101111010101000001
311202212112211110222100001
4103213131331233111001
5134041300432304100
62511141322200001
7166251622000000
oct23473575572501
94685484428301
101348048713025
1147a78239a483
12199316953001
139a174817491
1449362aa0c37
15250ec32ad6a
hex139ddf6f541

1348048713025 has 63 divisors (see below), whose sum is σ = 1953059637769. Its totient is φ = 923010859680.

The previous prime is 1348048712929. The next prime is 1348048713029. The reversal of 1348048713025 is 5203178408431.

The square root of 1348048713025 is 1161055.

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 388416879361 + 959631833664 = 623231^2 + 979608^2 .

It is not a de Polignac number, because 1348048713025 - 213 = 1348048704833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1348048713029) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1991208987 + ... + 1991209663.

Almost surely, 21348048713025 is an apocalyptic number.

1348048713025 is the 1161055-th square number.

1348048713025 is the 580528-th centered octagonal number.

It is an amenable number.

1348048713025 is a deficient number, since it is larger than the sum of its proper divisors (605010924744).

1348048713025 is an frugal number, since it uses more digits than its factorization.

1348048713025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 1348048713025 in words is "one trillion, three hundred forty-eight billion, forty-eight million, seven hundred thirteen thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 677 1225 1715 2401 3385 4739 8575 12005 16807 16925 23695 33173 60025 84035 117649 118475 165865 232211 420175 458329 588245 829325 1161055 1625477 2291645 2941225 3208303 5805275 8127385 11378339 11458225 16041515 22458121 40636925 56891695 79648373 80207575 112290605 157206847 284458475 398241865 561453025 786034235 1100447929 1991209325 3930171175 5502239645 7703135503 27511198225 38515677515 53921948521 192578387575 269609742605 1348048713025