Search a number
-
+
6649152174025 = 5259287412
BaseRepresentation
bin110000011000010000001…
…0110100111011111001001
3212112122121211212202102021
41200300200112213133021
51332414430424032100
622050324531004441
71254246121644124
oct140604026473711
925478554782367
106649152174025
112133987071879
128b4797739721
1339302120043a
1418db6bd493bb
15b7e5e027a1a
hex60c205a77c9

6649152174025 has 27 divisors (see below), whose sum is σ = 8388021764533. Its totient is φ = 5228565509600.

The previous prime is 6649152174023. The next prime is 6649152174037. The reversal of 6649152174025 is 5204712519466.

The square root of 6649152174025 is 2578595.

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 1445388231049 + 5203763942976 = 1202243^2 + 2281176^2 .

It is not a de Polignac number, because 6649152174025 - 21 = 6649152174023 is a prime.

It is a super-2 number, since 2×66491521740252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6649152174023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 760681155 + ... + 760689895.

Almost surely, 26649152174025 is an apocalyptic number.

6649152174025 is the 2578595-th square number.

6649152174025 is the 1289298-th centered octagonal number.

It is an amenable number.

6649152174025 is a deficient number, since it is larger than the sum of its proper divisors (1738869590508).

6649152174025 is an frugal number, since it uses more digits than its factorization.

6649152174025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17610 (or 8805 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 6649152174025 in words is "six trillion, six hundred forty-nine billion, one hundred fifty-two million, one hundred seventy-four thousand, twenty-five".

Divisors: 1 5 25 59 295 1475 3481 8741 17405 43705 87025 218525 515719 2578595 12892975 30427421 76405081 152137105 382025405 760685525 1910127025 4507899779 22539498895 112697494475 265966086961 1329830434805 6649152174025