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6873441975625 = 541048692
BaseRepresentation
bin110010000000101100100…
…0100010011110101001001
3220100002112222201012200011
41210001121010103311021
51400103302121210000
622341340551511521
71306406204544211
oct144013104236511
926302488635604
106873441975625
112210012894475
129301519885a1
133ab216885784
1419a967d43241
15bdbd9b352ba
hex64059113d49

6873441975625 has 15 divisors (see below), whose sum is σ = 8589134996211. Its totient is φ = 5498701146000.

The previous prime is 6873441975557. The next prime is 6873441975667. The reversal of 6873441975625 is 5265791443786.

The square root of 6873441975625 is 2621725.

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 6177625743289 + 695816232336 = 2485483^2 + 834156^2 .

It is not a de Polignac number, because 6873441975625 - 229 = 6872905104713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 65490691 + ... + 65595559.

Almost surely, 26873441975625 is an apocalyptic number.

6873441975625 is the 2621725-th square number.

6873441975625 is the 1310863-rd centered octagonal number.

It is an amenable number.

6873441975625 is a deficient number, since it is larger than the sum of its proper divisors (1715693020586).

6873441975625 is an frugal number, since it uses more digits than its factorization.

6873441975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209758 (or 104874 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 67.

The spelling of 6873441975625 in words is "six trillion, eight hundred seventy-three billion, four hundred forty-one million, nine hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 104869 524345 2621725 13108625 65543125 10997507161 54987535805 274937679025 1374688395125 6873441975625