Search a number
-
+
631132508160 = 21238571161
BaseRepresentation
bin10010010111100100110…
…11011101000000000000
32020100001201011100000000
421023302123131000000
540320024410230120
61201534400000000
763412023542640
oct11136233350000
92210051140000
10631132508160
11223730935790
12a2399000000
1347691845a7b
1422792c90520
151163d0ee990
hex92f26dd000

631132508160 has 1872 divisors, whose sum is σ = 2878659718272. Its totient is φ = 128994508800.

The previous prime is 631132508147. The next prime is 631132508161. The reversal of 631132508160 is 61805231136.

631132508160 is a `hidden beast` number, since 6 + 3 + 1 + 132 + 508 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631132508161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10346434530 + ... + 10346434590.

It is an arithmetic number, because the mean of its divisors is an integer number (1537745576).

Almost surely, 2631132508160 is an apocalyptic number.

631132508160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631132508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439329859136).

631132508160 is an abundant number, since it is smaller than the sum of its proper divisors (2247527210112).

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

631132508160 is an frugal number, since it uses more digits than its factorization.

631132508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 631132508160 its reverse (61805231136), we get a palindrome (692937739296).

The spelling of 631132508160 in words is "six hundred thirty-one billion, one hundred thirty-two million, five hundred eight thousand, one hundred sixty".