Search a number
-
+
106405246635 = 35172347177791
BaseRepresentation
bin110001100011000111…
…1110011011010101011
3101011122120020120210120
41203012033303122223
53220404220343020
6120514253414323
710454551446642
oct1430617633253
9334576216716
10106405246635
1141142a95766
1218756a9a3a3
13a059835bcc
1452159dc359
152b7b720740
hex18c63f36ab

106405246635 has 32 divisors (see below), whose sum is σ = 180340826112. Its totient is φ = 53388203520.

The previous prime is 106405246589. The next prime is 106405246637. The reversal of 106405246635 is 536642504601.

It is not a de Polignac number, because 106405246635 - 28 = 106405246379 is a prime.

It is a super-2 number, since 2×1064052466352 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106405246637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509590 + ... + 687380.

It is an arithmetic number, because the mean of its divisors is an integer number (5635650816).

Almost surely, 2106405246635 is an apocalyptic number.

106405246635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106405246635 is a deficient number, since it is larger than the sum of its proper divisors (73935579477).

106405246635 is a wasteful number, since it uses less digits than its factorization.

106405246635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180163.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 106405246635 in words is "one hundred six billion, four hundred five million, two hundred forty-six thousand, six hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 255 2347 7041 11735 35205 39899 119697 177791 199495 533373 598485 888955 2666865 3022447 9067341 15112235 45336705 417275477 1251826431 2086377385 6259132155 7093683109 21281049327 35468415545 106405246635