Search a number
-
+
36128283136 = 291117935837
BaseRepresentation
bin100001101001011010…
…011101101000000000
310110020211201221102121
4201221122131220000
51042442320030021
624332550254024
72416202224351
oct415132355000
9113224657377
1036128283136
111435a523940
127003357314
133539bc803a
141a6a2cbd28
15e16b51741
hex86969da00

36128283136 has 80 divisors (see below), whose sum is σ = 79190511840. Its totient is φ = 16329748480.

The previous prime is 36128283101. The next prime is 36128283173. The reversal of 36128283136 is 63138282163.

It is a junction number, because it is equal to n+sod(n) for n = 36128283092 and 36128283101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990210 + ... + 1026046.

It is an arithmetic number, because the mean of its divisors is an integer number (989881398).

Almost surely, 236128283136 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 36128283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39595255920).

36128283136 is an abundant number, since it is smaller than the sum of its proper divisors (43062228704).

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

36128283136 is a wasteful number, since it uses less digits than its factorization.

36128283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36045 (or 36029 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The spelling of 36128283136 in words is "thirty-six billion, one hundred twenty-eight million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 179 256 352 358 512 704 716 1408 1432 1969 2816 2864 3938 5632 5728 7876 11456 15752 22912 31504 35837 45824 63008 71674 91648 126016 143348 252032 286696 394207 504064 573392 788414 1008128 1146784 1576828 2293568 3153656 4587136 6307312 6414823 9174272 12614624 12829646 18348544 25229248 25659292 50458496 51318584 70563053 100916992 102637168 141126106 201833984 205274336 282252212 410548672 564504424 821097344 1129008848 1642194688 2258017696 3284389376 4516035392 9032070784 18064141568 36128283136