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28676913125 = 5472592269
BaseRepresentation
bin11010101101010001…
…101111011111100101
32202000112200010101112
4122231101233133211
5432212242210000
621101325434405
72033432511500
oct325521573745
982015603345
1028676913125
1111186408303
125683a0ba05
132920235963
141560838137
15b2c8c8235
hex6ad46f7e5

28676913125 has 90 divisors (see below), whose sum is σ = 42561368190. Its totient is φ = 19259016000.

The previous prime is 28676913077. The next prime is 28676913127. The reversal of 28676913125 is 52131967682.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 18687710209 + 9989202916 = 136703^2 + 99946^2 .

It is not a de Polignac number, because 28676913125 - 214 = 28676896741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28676913127) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 106605491 + ... + 106605759.

It is an arithmetic number, because the mean of its divisors is an integer number (472904091).

Almost surely, 228676913125 is an apocalyptic number.

28676913125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28676913125 is a deficient number, since it is larger than the sum of its proper divisors (13884455065).

28676913125 is an frugal number, since it uses more digits than its factorization.

28676913125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 340 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The spelling of 28676913125 in words is "twenty-eight billion, six hundred seventy-six million, nine hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 59 125 175 245 269 295 413 625 875 1225 1345 1475 1883 2065 2891 3481 4375 6125 6725 7375 9415 10325 13181 14455 15871 17405 24367 30625 33625 36875 47075 51625 65905 72275 79355 87025 111097 121835 168125 170569 235375 258125 329525 361375 396775 435125 555485 609175 777679 852845 936389 1176875 1647625 1806875 1983875 2175625 2777425 3045875 3888395 4264225 4681945 6554723 8238125 9919375 13887125 15229375 19441975 21321125 23409725 32773615 45883061 69435625 97209875 106605625 117048625 163868075 229415305 486049375 585243125 819340375 1147076525 4096701875 5735382625 28676913125