Search a number
-
+
53231457216 = 263744988211
BaseRepresentation
bin110001100100110101…
…111001001111000000
312002101210101012120110
4301210311321033000
51333004223112331
640242034511320
73563060630550
oct614465711700
9162353335513
1053231457216
1120636851753
12a397135540
1350343a38a2
14280d987160
1515b8408946
hexc64d793c0

53231457216 has 112 divisors (see below), whose sum is σ = 161322105600. Its totient is φ = 15174942720.

The previous prime is 53231457193. The next prime is 53231457287. The reversal of 53231457216 is 61275413235.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 559351 + ... + 647561.

Almost surely, 253231457216 is an apocalyptic number.

53231457216 is a gapful number since it is divisible by the number (56) 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 53231457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80661052800).

53231457216 is an abundant number, since it is smaller than the sum of its proper divisors (108090648384).

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

53231457216 is a wasteful number, since it uses less digits than its factorization.

53231457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88682 (or 88672 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The spelling of 53231457216 in words is "fifty-three billion, two hundred thirty-one million, four hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 449 672 898 1344 1347 1796 2694 3143 3592 5388 6286 7184 9429 10776 12572 14368 18858 21552 25144 28736 37716 43104 50288 75432 86208 88211 100576 150864 176422 201152 264633 301728 352844 529266 603456 617477 705688 1058532 1234954 1411376 1852431 2117064 2469908 2822752 3704862 4234128 4939816 5645504 7409724 8468256 9879632 14819448 16936512 19759264 29638896 39518528 39606739 59277792 79213478 118555584 118820217 158426956 237640434 277247173 316853912 475280868 554494346 633707824 831741519 950561736 1108988692 1267415648 1663483038 1901123472 2217977384 2534831296 3326966076 3802246944 4435954768 6653932152 7604493888 8871909536 13307864304 17743819072 26615728608 53231457216