Search a number
-
+
36676812676 = 22743223136603
BaseRepresentation
bin100010001010000110…
…111011111110000100
310111200001220010111111
4202022012323332010
51100103231001201
624503223214404
72435612523010
oct421206737604
9114601803444
1036676812676
1114611117239
127136ba7404
1335c674212a
141abd0b7540
15e49da3b51
hex88a1bbf84

36676812676 has 48 divisors (see below), whose sum is σ = 75396665344. Its totient is φ = 15284124576.

The previous prime is 36676812661. The next prime is 36676812743. The reversal of 36676812676 is 67621867663.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 36676812676.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200191 + ... + 336793.

Almost surely, 236676812676 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 36676812676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37698332672).

36676812676 is an abundant number, since it is smaller than the sum of its proper divisors (38719852668).

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

36676812676 is a wasteful number, since it uses less digits than its factorization.

36676812676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136880 (or 136878 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 58.

The spelling of 36676812676 in words is "thirty-six billion, six hundred seventy-six million, eight hundred twelve thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 43 86 172 223 301 446 602 892 1204 1561 3122 6244 9589 19178 38356 67123 134246 136603 268492 273206 546412 956221 1912442 3824884 5873929 11747858 23495716 30462469 41117503 60924938 82235006 121849876 164470012 213237283 426474566 852949132 1309886167 2619772334 5239544668 9169203169 18338406338 36676812676