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253104105204 = 223237674676073
BaseRepresentation
bin1110101110111000101…
…1100010011011110100
3220012022021000201221200
43223232023202123310
513121324122331304
6312135135212500
724200104253106
oct3535613423364
9805267021850
10253104105204
119838273a455
1241078077130
131ab381c3632
14c370b97576
1568b55c3e39
hex3aee2e26f4

253104105204 has 144 divisors (see below), whose sum is σ = 668427859008. Its totient is φ = 80676186624.

The previous prime is 253104105197. The next prime is 253104105229. The reversal of 253104105204 is 402501401352.

253104105204 is a `hidden beast` number, since 2 + 531 + 0 + 4 + 105 + 20 + 4 = 666.

It is a super-2 number, since 2×2531041052042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41673912 + ... + 41679984.

It is an arithmetic number, because the mean of its divisors is an integer number (4641860132).

Almost surely, 2253104105204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253104105204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334213929504).

253104105204 is an abundant number, since it is smaller than the sum of its proper divisors (415323753804).

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

253104105204 is a wasteful number, since it uses less digits than its factorization.

253104105204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 253104105204 its reverse (402501401352), we get a palindrome (655605506556).

The spelling of 253104105204 in words is "two hundred fifty-three billion, one hundred four million, one hundred five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 444 467 603 666 804 934 1206 1332 1401 1868 2412 2479 2802 4203 4958 5604 6073 7437 8406 9916 12146 14874 16812 17279 18219 22311 24292 29748 31289 34558 36438 44622 51837 54657 62578 69116 72876 89244 93867 103674 109314 125156 155511 187734 207348 218628 224701 281601 311022 375468 406891 449402 563202 622044 674103 813782 898804 1126404 1157693 1220673 1348206 1627564 2022309 2315386 2441346 2696412 2836091 3473079 3662019 4044618 4630772 4882692 5672182 6946158 7324038 8089236 8508273 10419237 11344364 13892316 14648076 15054967 17016546 20838474 25524819 30109934 34033092 41676948 45164901 51049638 60219868 90329802 102099276 104935367 135494703 180659604 190018097 209870734 270989406 314806101 380036194 419741468 541978812 570054291 629612202 760072388 944418303 1140108582 1259224404 1710162873 1888836606 2280217164 3420325746 3777673212 6840651492 7030669589 14061339178 21092008767 28122678356 42184017534 63276026301 84368035068 126552052602 253104105204