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6348107007025 = 5272719872
BaseRepresentation
bin101110001100000100010…
…1010011100010000110001
3211110212120111021202002021
41130120020222130100301
51313001410343211100
621300140300151441
71223431003152400
oct134301052342061
924425514252067
106348107007025
112028242a020a3
12866380238581
133708159ac024
1417d37009d637
15b01dec14a1a
hex5c608a9c431

6348107007025 has 27 divisors (see below), whose sum is σ = 9156947677419. Its totient is φ = 4352927192880.

The previous prime is 6348107007023. The next prime is 6348107007041. The reversal of 6348107007025 is 5207007018436.

The square root of 6348107007025 is 2519545.

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

It can be written as a sum of positive squares in only one way, i.e., 2285318522529 + 4062788484496 = 1511727^2 + 2015636^2 .

It is not a de Polignac number, because 6348107007025 - 21 = 6348107007023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6348107007023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88148082 + ... + 88220068.

Almost surely, 26348107007025 is an apocalyptic number.

6348107007025 is the 2519545-th square number.

6348107007025 is the 1259773-rd centered octagonal number.

It is an amenable number.

6348107007025 is a deficient number, since it is larger than the sum of its proper divisors (2808840670394).

6348107007025 is an frugal number, since it uses more digits than its factorization.

6348107007025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143998 (or 71999 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 6348107007025 in words is "six trillion, three hundred forty-eight billion, one hundred seven million, seven thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 71987 359935 503909 1799675 2519545 3527363 12597725 17636815 88184075 5182128169 25910640845 36274897183 129553204225 181374485915 253924280281 906872429575 1269621401405 6348107007025