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125255012085 = 32571493118581
BaseRepresentation
bin111010010100111000…
…1111100111011110101
3102222022020101212212200
41310221301330323311
54023010240341320
6133312533335113
712022636015230
oct1645161747365
9388266355780
10125255012085
1149136209515
1220337797499
13ba71b21a88
1460c322a417
1533d14d1290
hex1d29c7cef5

125255012085 has 96 divisors (see below), whose sum is σ = 250621862400. Its totient is φ = 56685657600.

The previous prime is 125255012081. The next prime is 125255012087. The reversal of 125255012085 is 580210552521.

125255012085 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 550 + 1 + 20 + 85 = 666.

It is not a de Polignac number, because 125255012085 - 22 = 125255012081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125255012081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14592495 + ... + 14601075.

It is an arithmetic number, because the mean of its divisors is an integer number (2610644400).

Almost surely, 2125255012085 is an apocalyptic number.

125255012085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125255012085 is an abundant number, since it is smaller than the sum of its proper divisors (125366850315).

125255012085 is a wasteful number, since it uses less digits than its factorization.

125255012085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059 (or 9056 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 125255012085 in words is "one hundred twenty-five billion, two hundred fifty-five million, twelve thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 149 311 315 447 745 933 1043 1341 1555 2177 2235 2799 3129 4665 5215 6531 6705 8581 9387 10885 13995 15645 19593 25743 32655 42905 46339 46935 60067 77229 97965 128715 139017 180201 231695 300335 324373 386145 417051 540603 695085 901005 973119 1278569 1621865 2085255 2668691 2703015 2919357 3835707 4865595 6392845 8006073 8949983 11507121 13343455 14596785 18680837 19178535 24018219 26849949 40030365 44749915 56042511 57535605 80549847 93404185 120091095 134249745 168127533 280212555 397634959 402749235 840637665 1192904877 1988174795 2783444713 3578714631 5964524385 8350334139 13917223565 17893573155 25051002417 41751670695 125255012085