Search a number
-
+
31731594048 = 2633731131157
BaseRepresentation
bin11101100011010110…
…011011001101000000
310000220102120222212000
4131203112123031000
51004441242002143
622324410104000
72202224046000
oct354326331500
9100812528760
1031731594048
11125037262a0
126196a1b000
132cb905406b
1417703d6000
15c5ab6dbd3
hex76359b340

31731594048 has 896 divisors, whose sum is σ = 123285504000. Its totient is φ = 7925299200.

The previous prime is 31731594031. The next prime is 31731594049. The reversal of 31731594048 is 84049513713.

31731594048 is a `hidden beast` number, since 3 + 17 + 3 + 1 + 594 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31731593994 and 31731594012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31731594049) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 202111986 + ... + 202112142.

Almost surely, 231731594048 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 31731594048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61642752000).

31731594048 is an abundant number, since it is smaller than the sum of its proper divisors (91553909952).

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

31731594048 is a wasteful number, since it uses less digits than its factorization.

31731594048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 31731594048 in words is "thirty-one billion, seven hundred thirty-one million, five hundred ninety-four thousand, forty-eight".