Search a number
-
+
36002252676 = 2231319109311113
BaseRepresentation
bin100001100001111001…
…101100011110000100
310102221001120221010210
4201201321230132010
51042213034041201
624312245115420
72413112045535
oct414171543604
9112831527123
1036002252676
11142a5373335
126b890b8b70
133519a6c2c0
141a5768268c
15e0aa591d6
hex861e6c784

36002252676 has 96 divisors (see below), whose sum is σ = 95324333440. Its totient is φ = 10484038656.

The previous prime is 36002252669. The next prime is 36002252743. The reversal of 36002252676 is 67625220063.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3234096 + ... + 3245208.

Almost surely, 236002252676 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 36002252676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47662166720).

36002252676 is an abundant number, since it is smaller than the sum of its proper divisors (59322080764).

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

36002252676 is a wasteful number, since it uses less digits than its factorization.

36002252676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12245 (or 12243 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 36002252676 in words is "thirty-six billion, two million, two hundred fifty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1093 1482 2186 2964 3279 4372 6558 11113 13116 14209 20767 22226 28418 33339 41534 42627 44452 56836 62301 66678 83068 85254 124602 133356 144469 170508 211147 249204 269971 288938 422294 433407 539942 577876 633441 809913 844588 866814 1079884 1266882 1619826 1733628 2533764 2744911 3239652 5489822 8234733 10979644 12146509 16469466 24293018 32938932 36439527 48586036 72879054 145758108 157904617 230783671 315809234 461567342 473713851 631618468 692351013 923134684 947427702 1384702026 1894855404 2769404052 3000187723 6000375446 9000563169 12000750892 18001126338 36002252676