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128448776500 = 225311103226741
BaseRepresentation
bin111011110100000100…
…1001100100100110100
3110021112211000221000121
41313220021030210310
54101030341322000
6135001503021324
712165036404602
oct1675011144464
9407484027017
10128448776500
114a524a92a40
1220a8929a844
13c1606b92c5
146307470872
15351ba9bb1a
hex1de824c934

128448776500 has 96 divisors (see below), whose sum is σ = 309007625472. Its totient is φ = 46254960000.

The previous prime is 128448776473. The next prime is 128448776531. The reversal of 128448776500 is 5677844821.

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 31 ways as a sum of consecutive naturals, for example, 453130 + ... + 679870.

It is an arithmetic number, because the mean of its divisors is an integer number (3218829432).

Almost surely, 2128448776500 is an apocalyptic number.

128448776500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128448776500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154503812736).

128448776500 is an abundant number, since it is smaller than the sum of its proper divisors (180558848972).

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

128448776500 is a wasteful number, since it uses less digits than its factorization.

128448776500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226874 (or 226862 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 52.

It can be divided in two parts, 1284 and 48776500, that added together give a palindrome (48777784).

The spelling of 128448776500 in words is "one hundred twenty-eight billion, four hundred forty-eight million, seven hundred seventy-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 125 206 220 250 275 412 500 515 550 1030 1100 1133 1375 2060 2266 2575 2750 4532 5150 5500 5665 10300 11330 12875 22660 25750 28325 51500 56650 113300 141625 226741 283250 453482 566500 906964 1133705 2267410 2494151 4534820 4988302 5668525 9976604 11337050 12470755 22674100 23354323 24941510 28342625 46708646 49883020 56685250 62353775 93417292 113370500 116771615 124707550 233543230 249415100 256897553 311768875 467086460 513795106 583858075 623537750 1027590212 1167716150 1247075500 1284487765 2335432300 2568975530 2919290375 5137951060 5838580750 6422438825 11677161500 12844877650 25689755300 32112194125 64224388250 128448776500