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104030610516 = 22327258974269
BaseRepresentation
bin110000011100010110…
…1010010010001010100
3100221112001221120102200
41200320231102101110
53201023314014031
6115442505004500
710341655412400
oct1407055222124
9327461846380
10104030610516
1140134627478
12181b3783730
139a6b88ac91
14506c4a2100
152a8d0098e6
hex1838b52454

104030610516 has 54 divisors (see below), whose sum is σ = 305899538490. Its totient is φ = 29723031072.

The previous prime is 104030610479. The next prime is 104030610517. The reversal of 104030610516 is 615016030401.

104030610516 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 30 + 610 + 5 + 16 = 666.

104030610516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 103909522500 + 121088016 = 322350^2 + 11004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104030610516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104030610517) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29485371 + ... + 29488898.

Almost surely, 2104030610516 is an apocalyptic number.

It is an amenable number.

104030610516 is an abundant number, since it is smaller than the sum of its proper divisors (201868927974).

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

104030610516 is a wasteful number, since it uses less digits than its factorization.

104030610516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58974293 (or 58974281 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 104030610516 its reverse (615016030401), we get a palindrome (719046640917).

The spelling of 104030610516 in words is "one hundred four billion, thirty million, six hundred ten thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 58974269 117948538 176922807 235897076 353845614 412819883 530768421 707691228 825639766 1061536842 1238459649 1651279532 2123073684 2476919298 2889739181 3715378947 4953838596 5779478362 7430757894 8669217543 11558956724 14861515788 17338435086 26007652629 34676870172 52015305258 104030610516