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21128076025 = 527241532
BaseRepresentation
bin10011101011010101…
…001101101011111001
32000112110012110122021
4103223111031223321
5321232241413100
613412303554441
71345400453200
oct235325155371
960473173567
1021128076025
118a62280261
1241178bba21
131cb9308944
141046052237
15839ceaa1a
hex4eb54daf9

21128076025 has 27 divisors (see below), whose sum is σ = 30483511821. Its totient is φ = 14484335040.

The previous prime is 21128075911. The next prime is 21128076061. The reversal of 21128076025 is 52067082112.

It is a happy number.

The square root of 21128076025 is 145355.

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 11242148841 + 9885927184 = 106029^2 + 99428^2 .

It is a de Polignac number, because none of the positive numbers 2k-21128076025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5085349 + ... + 5089501.

Almost surely, 221128076025 is an apocalyptic number.

21128076025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21128076025 is the 145355-th square number.

21128076025 is the 72678-th centered octagonal number.

It is an amenable number.

21128076025 is a deficient number, since it is larger than the sum of its proper divisors (9355435796).

21128076025 is an frugal number, since it uses more digits than its factorization.

21128076025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8330 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 21128076025 in words is "twenty-one billion, one hundred twenty-eight million, seventy-six thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 4153 20765 29071 103825 145355 203497 726775 1017485 5087425 17247409 86237045 120731863 431185225 603659315 845123041 3018296575 4225615205 21128076025