Search a number
-
+
808233648992 = 25711383856441
BaseRepresentation
bin10111100001011100111…
…10101100001101100000
32212021012012012110001022
423300232132230031200
5101220230303231432
61415144124025012
7112251532443410
oct13605636541540
92767165173038
10808233648992
11291851908090
12110783992168
135b2a6a28923
142b193a90640
1516056091b12
hexbc2e7ac360

808233648992 has 96 divisors (see below), whose sum is σ = 1989028306944. Its totient is φ = 314073676800.

The previous prime is 808233648979. The next prime is 808233649007. The reversal of 808233648992 is 299846332808.

808233648992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515492 + ... + 1371932.

It is an arithmetic number, because the mean of its divisors is an integer number (20719044864).

Almost surely, 2808233648992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808233648992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994514153472).

808233648992 is an abundant number, since it is smaller than the sum of its proper divisors (1180794657952).

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

808233648992 is a wasteful number, since it uses less digits than its factorization.

808233648992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856852 (or 856844 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 62.

The spelling of 808233648992 in words is "eight hundred eight billion, two hundred thirty-three million, six hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 383 616 766 1232 1532 2464 2681 3064 4213 5362 6128 8426 10724 12256 16852 21448 29491 33704 42896 58982 67408 85792 117964 134816 235928 471856 856441 943712 1712882 3425764 5995087 6851528 9420851 11990174 13703056 18841702 23980348 27406112 37683404 47960696 65945957 75366808 95921392 131891914 150733616 191842784 263783828 301467232 328016903 527567656 656033806 1055135312 1312067612 2110270624 2296118321 2624135224 3608185933 4592236642 5248270448 7216371866 9184473284 10496540896 14432743732 18368946568 25257301531 28865487464 36737893136 50514603062 57730974928 73475786272 101029206124 115461949856 202058412248 404116824496 808233648992