Search a number
-
+
36481861696 = 2671910341611
BaseRepresentation
bin100001111110011111…
…010000100001000000
310111011111001121000211
4201332133100201000
51044203324033241
624432020523504
72431024464550
oct417637204100
9114144047024
1036481861696
1114521072725
1270a1850594
133595235017
141aa124b160
15e37be5781
hex87e7d0840

36481861696 has 112 divisors (see below), whose sum is σ = 87937807360. Its totient is φ = 14668024320.

The previous prime is 36481861679. The next prime is 36481861697. The reversal of 36481861696 is 69616818463.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36481861696.

It is not an unprimeable number, because it can be changed into a prime (36481861697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855931 + ... + 897541.

Almost surely, 236481861696 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 36481861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43968903680).

36481861696 is an abundant number, since it is smaller than the sum of its proper divisors (51455945664).

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

36481861696 is a wasteful number, since it uses less digits than its factorization.

36481861696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41752 (or 41742 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 58.

The spelling of 36481861696 in words is "thirty-six billion, four hundred eighty-one million, eight hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 103 112 133 152 206 224 266 304 412 448 532 608 721 824 1064 1216 1442 1648 1957 2128 2884 3296 3914 4256 5768 6592 7828 8512 11536 13699 15656 23072 27398 31312 41611 46144 54796 62624 83222 109592 125248 166444 219184 291277 332888 438368 582554 665776 790609 876736 1165108 1331552 1581218 2330216 2663104 3162436 4285933 4660432 5534263 6324872 8571866 9320864 11068526 12649744 17143732 18641728 22137052 25299488 30001531 34287464 44274104 50598976 60003062 68574928 81432727 88548208 120006124 137149856 162865454 177096416 240012248 274299712 325730908 354192832 480024496 570029089 651461816 960048992 1140058178 1302923632 1920097984 2280116356 2605847264 4560232712 5211694528 9120465424 18240930848 36481861696