Search a number
-
+
1005056110555 = 5724729291999
BaseRepresentation
bin11101010000000100000…
…00110010111111011011
310120002020002101110020221
432220002000302333123
5112431323331014210
62045414424300511
7132420140661100
oct16500200627733
93502202343227
101005056110555
11358272a77662
12142953311737
1373a12941c33
1436905b52aa7
151b2255a31da
hexea02032fdb

1005056110555 has 72 divisors (see below), whose sum is σ = 1435722840000. Its totient is φ = 673454767104.

The previous prime is 1005056110547. The next prime is 1005056110609. The reversal of 1005056110555 is 5550116505001.

It is not a de Polignac number, because 1005056110555 - 23 = 1005056110547 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005056110555.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 502778446 + ... + 502780444.

It is an arithmetic number, because the mean of its divisors is an integer number (19940595000).

Almost surely, 21005056110555 is an apocalyptic number.

1005056110555 is a deficient number, since it is larger than the sum of its proper divisors (430666729445).

1005056110555 is an equidigital number, since it uses as much as digits as its factorization.

1005056110555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 1005056110555 in words is "one trillion, five billion, fifty-six million, one hundred ten thousand, five hundred fifty-five".

Divisors: 1 5 7 35 47 49 235 245 329 929 1645 1999 2209 2303 4645 6503 9995 11045 11515 13993 15463 32515 43663 45521 69965 77315 93953 97951 108241 218315 227605 305641 469765 489755 541205 657671 1528205 1857071 2052161 2139487 3288355 4415791 4603697 9285355 10260805 10697435 12999497 14365127 22078955 23018485 30910537 64997485 71825635 87282337 90996479 100555889 154552685 216373759 436411685 454982395 502779445 610976359 1081868795 3054881795 4102269839 4276834513 20511349195 21384172565 28715888873 143579444365 201011222111 1005056110555