Search a number
-
+
472326234075 = 34524325121611
BaseRepresentation
bin1101101111110001101…
…01100101111111011011
31200011011020010202010000
412313320311211333123
530214311003442300
61000552250224043
746060453514133
oct6677065457733
91604136122100
10472326234075
11172348933573
1277659125023
13357039b4957
1418c09b15ac3
15c44635dc00
hex6df8d65fdb

472326234075 has 120 divisors (see below), whose sum is σ = 898866593856. Its totient is φ = 245057400000.

The previous prime is 472326234073. The next prime is 472326234097. The reversal of 472326234075 is 570432623274.

472326234075 is a `hidden beast` number, since 4 + 7 + 232 + 6 + 2 + 3 + 407 + 5 = 666.

It is not a de Polignac number, because 472326234075 - 21 = 472326234073 is a prime.

It is a super-2 number, since 2×4723262340752 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 472326234075.

It is not an unprimeable number, because it can be changed into a prime (472326234073) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21845020 + ... + 21866630.

Almost surely, 2472326234075 is an apocalyptic number.

472326234075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

472326234075 is a deficient number, since it is larger than the sum of its proper divisors (426540359781).

472326234075 is a wasteful number, since it uses less digits than its factorization.

472326234075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21927 (or 21913 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 472326234075 in words is "four hundred seventy-two billion, three hundred twenty-six million, two hundred thirty-four thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 81 129 135 215 225 251 387 405 645 675 753 1075 1161 1255 1935 2025 2259 3225 3483 3765 5805 6275 6777 9675 10793 11295 17415 18825 20331 21611 29025 32379 33885 53965 56475 64833 87075 97137 101655 108055 161895 169425 194499 269825 291411 324165 485685 508275 540275 583497 809475 874233 929273 972495 1457055 1620825 1750491 2428425 2787819 2917485 4371165 4646365 4862475 5424361 7285275 8363457 8752455 13939095 14587425 16273083 21855825 23231825 25090371 27121805 41817285 43762275 48819249 69695475 75271113 81365415 125451855 135609025 146457747 209086425 233247523 244096245 376355565 406827075 439373241 627259275 699742569 732288735 1166237615 1220481225 1881777825 2099227707 2196866205 3498712845 3661443675 5831188075 6297683121 10496138535 10984331025 17493564225 18893049363 31488415605 52480692675 94465246815 157442078025 472326234075