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106688004336 = 243482320991
BaseRepresentation
bin110001101011100011…
…0011100000011110000
3101012101021022011110000
41203113012130003300
53221444112114321
6121002314110000
710464554034264
oct1432706340360
9335337264400
10106688004336
1141278662811
121881571b300
13a0a32a7864
1452413a40a4
152b96475826
hex18d719c0f0

106688004336 has 50 divisors (see below), whose sum is σ = 308786040992. Its totient is φ = 35562667680.

The previous prime is 106688004257. The next prime is 106688004341. The reversal of 106688004336 is 633400886601.

It is a super-2 number, since 2×1066880043362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106688004291 and 106688004300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41159200 + ... + 41161791.

Almost surely, 2106688004336 is an apocalyptic number.

106688004336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106688004336 is an abundant number, since it is smaller than the sum of its proper divisors (202098036656).

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

106688004336 is an equidigital number, since it uses as much as digits as its factorization.

106688004336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82321011 (or 82320996 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 106688004336 in words is "one hundred six billion, six hundred eighty-eight million, four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 82320991 164641982 246962973 329283964 493925946 658567928 740888919 987851892 1317135856 1481777838 1975703784 2222666757 2963555676 3951407568 4445333514 5927111352 6668000271 8890667028 11854222704 13336000542 17781334056 26672001084 35562668112 53344002168 106688004336