Search a number
-
+
31632140064 = 2537229205553
BaseRepresentation
bin11101011101011011…
…000010011100100000
310000122111110012122010
4131131123002130200
51004240311440224
622310454312520
72166605516460
oct353533023440
9100574405563
1031632140064
1112462578018
126169658740
132ca1571c55
141761107ba0
15c52075e29
hex75d6c2720

31632140064 has 96 divisors (see below), whose sum is σ = 95311278720. Its totient is φ = 8998244352.

The previous prime is 31632140047. The next prime is 31632140077. The reversal of 31632140064 is 46004123613.

It is a tau number, because it is divible by the number of its divisors (96).

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, 51112 + ... + 256664.

It is an arithmetic number, because the mean of its divisors is an integer number (992825820).

Almost surely, 231632140064 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 31632140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47655639360).

31632140064 is an abundant number, since it is smaller than the sum of its proper divisors (63679138656).

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

31632140064 is a wasteful number, since it uses less digits than its factorization.

31632140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205802 (or 205794 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 31632140064 its reverse (46004123613), we get a palindrome (77636263677).

The spelling of 31632140064 in words is "thirty-one billion, six hundred thirty-two million, one hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 229 336 458 672 687 916 1374 1603 1832 2748 3206 3664 4809 5496 6412 7328 9618 10992 12824 19236 21984 25648 38472 51296 76944 153888 205553 411106 616659 822212 1233318 1438871 1644424 2466636 2877742 3288848 4316613 4933272 5755484 6577696 8633226 9866544 11510968 17266452 19733088 23021936 34532904 46043872 47071637 69065808 94143274 138131616 141214911 188286548 282429822 329501459 376573096 564859644 659002918 753146192 988504377 1129719288 1318005836 1506292384 1977008754 2259438576 2636011672 3954017508 4518877152 5272023344 7908035016 10544046688 15816070032 31632140064