Search a number
-
+
36634342632 = 2334138995707
BaseRepresentation
bin100010000111100100…
…111011010011101000
310111120002222102112220
4202013210323103220
51100011342431012
624455105034040
72434555526436
oct420744732350
9114502872486
1036634342632
111459a149928
127124925920
1335ba9c2224
141ab75bdd56
15e462b508c
hex88793b4e8

36634342632 has 64 divisors (see below), whose sum is σ = 94061822400. Its totient is φ = 11882856960.

The previous prime is 36634342561. The next prime is 36634342649. The reversal of 36634342632 is 23624343663.

It is a nude number because it is divisible by every one of its digits.

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, 334923 + ... + 430629.

It is an arithmetic number, because the mean of its divisors is an integer number (1469715975).

Almost surely, 236634342632 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 36634342632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47030911200).

36634342632 is an abundant number, since it is smaller than the sum of its proper divisors (57427479768).

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

36634342632 is a wasteful number, since it uses less digits than its factorization.

36634342632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96146 (or 96142 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 42.

The spelling of 36634342632 in words is "thirty-six billion, six hundred thirty-four million, three hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 389 492 778 984 1167 1556 2334 3112 4668 9336 15949 31898 47847 63796 95694 95707 127592 191388 191414 287121 382776 382828 574242 765656 1148484 2296968 3923987 7847974 11771961 15695948 23543922 31391896 37230023 47087844 74460046 94175688 111690069 148920092 223380138 297840184 446760276 893520552 1526430943 3052861886 4579292829 6105723772 9158585658 12211447544 18317171316 36634342632