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85011133725 = 325271728111299
BaseRepresentation
bin100111100101100001…
…1101111010100011101
322010102120110001011100
41033023003233110131
52343100322234400
6103015323343313
76066440466630
oct1171303572435
9263376401140
1085011133725
1133064629011
1214586081b39
13802a3912bb
1441864d7c17
1523283c4100
hex13cb0ef51d

85011133725 has 144 divisors (see below), whose sum is σ = 184924771200. Its totient is φ = 36442828800.

The previous prime is 85011133703. The next prime is 85011133729. The reversal of 85011133725 is 52733111058.

It is a happy number.

85011133725 is a `hidden beast` number, since 8 + 501 + 113 + 37 + 2 + 5 = 666.

It is not a de Polignac number, because 85011133725 - 28 = 85011133469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85011133725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85011133729) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7518126 + ... + 7529424.

It is an arithmetic number, because the mean of its divisors is an integer number (1284199800).

Almost surely, 285011133725 is an apocalyptic number.

85011133725 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85011133725 is an abundant number, since it is smaller than the sum of its proper divisors (99913637475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85011133725 is a wasteful number, since it uses less digits than its factorization.

85011133725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 11612 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 85011133725 in words is "eighty-five billion, eleven million, one hundred thirty-three thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 281 315 357 425 525 595 765 843 1071 1275 1405 1575 1785 1967 2529 2975 3825 4215 4777 5355 5901 7025 8925 9835 11299 12645 14331 17703 21075 23885 26775 29505 33439 33897 42993 49175 56495 63225 71655 79093 88515 100317 101691 119425 147525 167195 169485 192083 214965 237279 282475 300951 358275 395465 442575 501585 508455 576249 711837 835975 847425 960415 1074825 1186395 1344581 1504755 1728747 1977325 2507925 2542275 2881245 3175019 3559185 4033743 4802075 5931975 6722905 7523775 8643735 9525057 12101229 14406225 15875095 17795925 20168715 22225133 28575171 33614525 43218675 47625285 53975323 60506145 66675399 79375475 100843575 111125665 142875855 161925969 200026197 238126425 269876615 302530725 333376995 377827261 485777907 555628325 714379275 809629845 1000130985 1133481783 1349383075 1666884975 1889136305 2428889535 3400445349 4048149225 5000654925 5667408915 9445681525 12144447675 17002226745 28337044575 85011133725