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27688208900 = 22521125171099
BaseRepresentation
bin11001110010010110…
…001000101000000100
32122110122020202011112
4121302112020220010
5423201140141100
620415250224152
72000065615052
oct316226105004
978418222145
1027688208900
11108192aa180
125448885058
1327c3452081
1414a93cb1d2
15ac0bc8b35
hex672588a04

27688208900 has 36 divisors (see below), whose sum is σ = 65545544400. Its totient is φ = 10068439200.

The previous prime is 27688208827. The next prime is 27688208921. The reversal of 27688208900 is 980288672.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12584450 + ... + 12586649.

Almost surely, 227688208900 is an apocalyptic number.

27688208900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27688208900 is an abundant number, since it is smaller than the sum of its proper divisors (37857335500).

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

27688208900 is a wasteful number, since it uses less digits than its factorization.

27688208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25171124 (or 25171117 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 27688208900 in words is "twenty-seven billion, six hundred eighty-eight million, two hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 25171099 50342198 100684396 125855495 251710990 276882089 503421980 553764178 629277475 1107528356 1258554950 1384410445 2517109900 2768820890 5537641780 6922052225 13844104450 27688208900