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2136727125 = 325313193757
BaseRepresentation
bin111111101011011…
…1101111001010101
312111220121222120200
41333112331321111
513334000232000
6552005251113
7103643611101
oct17726757125
95456558520
102136727125
119a7143795
124b7703a99
132808a9aa0
14163aca901
15c78be500
hex7f5bde55

2136727125 has 96 divisors (see below), whose sum is σ = 4175100384. Its totient is φ = 1045094400.

The previous prime is 2136727039. The next prime is 2136727129. The reversal of 2136727125 is 5217276312.

2136727125 is a `hidden beast` number, since 2 + 1 + 367 + 271 + 25 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1948516164 + 188210961 = 44142^2 + 13719^2 .

It is not a de Polignac number, because 2136727125 - 27 = 2136726997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2136727125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136727129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2822247 + ... + 2823003.

It is an arithmetic number, because the mean of its divisors is an integer number (43490629).

Almost surely, 22136727125 is an apocalyptic number.

2136727125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2136727125 is a deficient number, since it is larger than the sum of its proper divisors (2038373259).

2136727125 is a wasteful number, since it uses less digits than its factorization.

2136727125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 971 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2136727125 is about 46224.7458078463. The cubic root of 2136727125 is about 1288.0014573511.

The spelling of 2136727125 in words is "two billion, one hundred thirty-six million, seven hundred twenty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 193 195 225 325 375 579 585 757 965 975 1125 1625 1737 2271 2509 2895 2925 3785 4825 4875 6813 7527 8685 9841 11355 12545 14475 14625 18925 22581 24125 29523 34065 37635 43425 49205 56775 62725 72375 88569 94625 112905 146101 147615 170325 188175 217125 246025 283875 313625 438303 442845 564525 730505 738075 851625 940875 1230125 1314909 1899313 2191515 2214225 2822625 3652525 3690375 5697939 6574545 9496565 10957575 11071125 17093817 18262625 28489695 32872725 47482825 54787875 85469085 142448475 164363625 237414125 427345425 712242375 2136727125