Search a number
-
+
131561216696 = 237133141913913
BaseRepresentation
bin111101010000110101…
…0001101101010111000
3110120120201122021022102
41322201222031222320
54123414132413241
6140234405242532
712335131614350
oct1724152155270
9416521567272
10131561216696
1150881971368
12215b7703448
13c53847b7b0
146520985b60
15364ee5139b
hex1ea1a8dab8

131561216696 has 128 divisors (see below), whose sum is σ = 314166988800. Its totient is φ = 50243466240.

The previous prime is 131561216641. The next prime is 131561216711. The reversal of 131561216696 is 696612165131.

It is a self number, because there is not a number n which added to its sum of digits gives 131561216696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9449036 + ... + 9462948.

It is an arithmetic number, because the mean of its divisors is an integer number (2454429600).

Almost surely, 2131561216696 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 131561216696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157083494400).

131561216696 is an abundant number, since it is smaller than the sum of its proper divisors (182605772104).

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

131561216696 is a wasteful number, since it uses less digits than its factorization.

131561216696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14389 (or 14385 counting only the distinct ones).

The product of its digits is 349920, while the sum is 47.

The spelling of 131561216696 in words is "one hundred thirty-one billion, five hundred sixty-one million, two hundred sixteen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 419 434 728 806 838 868 1612 1676 1736 2821 2933 3224 3352 5447 5642 5866 10894 11284 11732 12989 13913 21788 22568 23464 25978 27826 38129 43576 51956 55652 76258 90923 97391 103912 111304 152516 168857 180869 181846 194782 305032 337714 361738 363692 389564 431303 675428 723476 727384 779128 862606 1181999 1266083 1350856 1446952 1725212 2363998 2532166 3019121 3450424 4727996 5064332 5606939 5829547 6038242 9455992 10128664 11213878 11659094 12076484 22427756 23318188 24152968 39248573 40806829 44855512 46636376 75784111 78497146 81613658 151568222 156994292 163227316 180715957 303136444 313988584 326454632 361431914 530488777 606272888 722863828 1060977554 1265011699 1445727656 2121955108 2349307441 2530023398 4243910216 4698614882 5060046796 9397229764 10120093592 16445152087 18794459528 32890304174 65780608348 131561216696