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2531132604 = 22337111321801
BaseRepresentation
bin1001011011011110…
…0000010010111100
320112101202212012000
42112313200102330
520140432220404
61055054542300
7116503162230
oct22667402274
96471685160
102531132604
111089838430
125a7807990
1331450cb00
141a02365c0
15ec32a339
hex96de04bc

2531132604 has 288 divisors, whose sum is σ = 8864110080. Its totient is φ = 606528000.

The previous prime is 2531132599. The next prime is 2531132641. The reversal of 2531132604 is 4062311352.

2531132604 is a `hidden beast` number, since 2 + 53 + 1 + 1 + 3 + 2 + 604 = 666.

2531132604 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1404504 + ... + 1406304.

It is an arithmetic number, because the mean of its divisors is an integer number (30778160).

Almost surely, 22531132604 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 2531132604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432055040).

2531132604 is an abundant number, since it is smaller than the sum of its proper divisors (6332977476).

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

2531132604 is a wasteful number, since it uses less digits than its factorization.

2531132604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2531132604 is about 50310.3627893896. The cubic root of 2531132604 is about 1362.8193753908.

Adding to 2531132604 its reverse (4062311352), we get a palindrome (6593443956).

The spelling of 2531132604 in words is "two billion, five hundred thirty-one million, one hundred thirty-two thousand, six hundred four".