Search a number
-
+
36082075216 = 2411475382301
BaseRepresentation
bin100001100110101010…
…001100011001010000
310110010121210100002011
4201212222030121100
51042344002401331
624324220032304
72415101402365
oct414652143120
9113117710064
1036082075216
1114336433180
126bab992694
133530469985
141a6410046c
15e12a753b1
hex866a8c650

36082075216 has 80 divisors (see below), whose sum is σ = 79357563648. Its totient is φ = 15748928000.

The previous prime is 36082075213. The next prime is 36082075231. The reversal of 36082075216 is 61257028063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36082075213) 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, 397266 + ... + 479566.

Almost surely, 236082075216 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 36082075216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39678781824).

36082075216 is an abundant number, since it is smaller than the sum of its proper divisors (43275488432).

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

36082075216 is a wasteful number, since it uses less digits than its factorization.

36082075216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82420 (or 82414 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 36082075216 in words is "thirty-six billion, eighty-two million, seventy-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 47 53 88 94 106 176 188 212 376 424 517 583 752 848 1034 1166 2068 2332 2491 4136 4664 4982 8272 9328 9964 19928 27401 39856 54802 82301 109604 164602 219208 329204 438416 658408 905311 1316816 1810622 3621244 3868147 4361953 7242488 7736294 8723906 14484976 15472588 17447812 30945176 34895624 42549617 47981483 61890352 69791248 85099234 95962966 170198468 191925932 205011791 340396936 383851864 410023582 680793872 767703728 820047164 1640094328 2255129701 3280188656 4510259402 9020518804 18041037608 36082075216