Search a number
-
+
104464251250125 = 35313190111272259
BaseRepresentation
bin10111110000001001111010…
…100101100110010111001101
3111200212200111021122021210020
4113300021322211212113031
5102143020241310001000
61010102114200132353
731001202346520334
oct2760117245462715
9450780437567706
10104464251250125
11303160494a9358
12b871a564670b9
134639c239bacc0
141bb214d640d1b
15c1254cc2aba0
hex5f027a9665cd

104464251250125 has 64 divisors (see below), whose sum is σ = 187298429310720. Its totient is φ = 51401496480000.

The previous prime is 104464251250123. The next prime is 104464251250141. The reversal of 104464251250125 is 521052152464401.

It is not a de Polignac number, because 104464251250125 - 21 = 104464251250123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104464251250123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3631246 + ... + 14903504.

It is an arithmetic number, because the mean of its divisors is an integer number (2926537957980).

Almost surely, 2104464251250125 is an apocalyptic number.

104464251250125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104464251250125 is a deficient number, since it is larger than the sum of its proper divisors (82834178060595).

104464251250125 is a wasteful number, since it uses less digits than its factorization.

104464251250125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274191 (or 11274181 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 104464251250125 in words is "one hundred four trillion, four hundred sixty-four billion, two hundred fifty-one million, two hundred fifty thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 325 375 975 1625 1901 4875 5703 9505 24713 28515 47525 74139 123565 142575 237625 370695 617825 712875 1853475 3089125 9267375 11272259 33816777 56361295 146539367 169083885 281806475 439618101 732696835 845419425 1409032375 2198090505 3663484175 4227097125 10990452525 18317420875 21428564359 54952262625 64285693077 107142821795 278571336667 321428465385 535714108975 835714010001 1392856683335 1607142326925 2678570544875 4178570050005 6964283416675 8035711634625 20892850250025 34821417083375 104464251250125