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104350965156 = 223217231672
BaseRepresentation
bin110000100101111001…
…1010101110110100100
3100222100101202021101100
41201023303111312210
53202202321341111
6115534351200100
710352625366054
oct1411363256644
9328311667340
10104350965156
1140289443679
1218282b16030
139ac0064739
14509cc53564
152aab1d9756
hex184bcd5da4

104350965156 has 81 divisors (see below), whose sum is σ = 280293513409. Its totient is φ = 32727220608.

The previous prime is 104350965151. The next prime is 104350965167. The reversal of 104350965156 is 651569053401.

The square root of 104350965156 is 323034.

It is a perfect power (a square), and thus also a powerful number.

104350965156 is a `hidden beast` number, since 1 + 0 + 43 + 5 + 0 + 96 + 515 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81242100900 + 23108864256 = 285030^2 + 152016^2 .

It is a super-2 number, since 2×1043509651562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104350965151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32947885 + ... + 32951051.

Almost surely, 2104350965156 is an apocalyptic number.

104350965156 is the 323034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104350965156

104350965156 is an abundant number, since it is smaller than the sum of its proper divisors (175942548253).

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

104350965156 is an equidigital number, since it uses as much as digits as its factorization.

104350965156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 104350965156 in words is "one hundred four billion, three hundred fifty million, nine hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3167 3468 5202 6334 9501 10404 12668 19002 28503 38004 53839 57006 107678 114012 161517 215356 323034 484551 646068 915263 969102 1830526 1938204 2745789 3661052 5491578 8237367 10029889 10983156 16474734 20059778 30089667 32949468 40119556 60179334 90269001 120358668 170508113 180538002 341016226 361076004 511524339 682032452 1023048678 1534573017 2046097356 2898637921 3069146034 5797275842 6138292068 8695913763 11594551684 17391827526 26087741289 34783655052 52175482578 104350965156