Search a number
-
+
108529753816 = 231129129732789
BaseRepresentation
bin110010100010011100…
…0001001111011011000
3101101010121212201202201
41211010320021323120
53234232104110231
6121505145135544
710561316454301
oct1450470117330
9341117781681
10108529753816
1142033242420
121904a48a5b4
13a307a24853
145377c277a8
152c52ec9161
hex1944e09ed8

108529753816 has 64 divisors (see below), whose sum is σ = 229831668000. Its totient is φ = 47592437760.

The previous prime is 108529753789. The next prime is 108529753817. The reversal of 108529753816 is 618357925801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108529753817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3293550 + ... + 3326338.

Almost surely, 2108529753816 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 108529753816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114915834000).

108529753816 is an abundant number, since it is smaller than the sum of its proper divisors (121301914184).

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

108529753816 is a wasteful number, since it uses less digits than its factorization.

108529753816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34132 (or 34128 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 108529753816 in words is "one hundred eight billion, five hundred twenty-nine million, seven hundred fifty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 1297 2552 2594 5188 10376 14267 28534 32789 37613 57068 65578 75226 114136 131156 150452 262312 300904 360679 413743 721358 827486 950881 1442716 1654972 1901762 2885432 3309944 3803524 7607048 10459691 20919382 41838764 42527333 83677528 85054666 170109332 340218664 467800663 935601326 1233292657 1871202652 2466585314 3742405304 4933170628 9866341256 13566219227 27132438454 54264876908 108529753816