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20800850625 = 34546412
BaseRepresentation
bin10011010111110100…
…111100101011000001
31222200122110200210000
4103113310330223001
5320100004210000
613320014230213
71334315212242
oct232764745301
958618420700
1020800850625
1189045a0a45
1240461b5369
131c66597a49
1410147d2cc9
1581b210000
hex4d7d3cac1

20800850625 has 75 divisors (see below), whose sum is σ = 38889335023. Its totient is φ = 11076480000.

The previous prime is 20800850569. The next prime is 20800850627. The reversal of 20800850625 is 52605800802.

The square root of 20800850625 is 144225.

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

20800850625 is a `hidden beast` number, since 20 + 8 + 0 + 0 + 8 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 6653175489 + 14147675136 = 81567^2 + 118944^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is a de Polignac number, because none of the positive numbers 2k-20800850625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20800850625.

It is not an unprimeable number, because it can be changed into a prime (20800850627) 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 74 ways as a sum of consecutive naturals, for example, 32450305 + ... + 32450945.

Almost surely, 220800850625 is an apocalyptic number.

20800850625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20800850625 is the 144225-th square number.

20800850625 is the 72113-rd centered octagonal number.

It is an amenable number.

20800850625 is a deficient number, since it is larger than the sum of its proper divisors (18088484398).

20800850625 is an frugal number, since it uses more digits than its factorization.

20800850625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 20800850625 by its sum of digits (36), we get a square (748830622500 = 8653502).

The spelling of 20800850625 in words is "twenty billion, eight hundred million, eight hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 641 675 1125 1875 1923 2025 3205 3375 5625 5769 9615 10125 16025 16875 17307 28845 48075 50625 51921 80125 86535 144225 240375 259605 400625 410881 432675 721125 1201875 1232643 1298025 2054405 2163375 3605625 3697929 6163215 6490125 10272025 10816875 11093787 18489645 30816075 32450625 33281361 51360125 55468935 92448225 154080375 166406805 256800625 277344675 462241125 770401875 832034025 1386723375 2311205625 4160170125 6933616875 20800850625