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2516321088 = 263219317417
BaseRepresentation
bin1001010111111100…
…0000001101000000
320111100220100121100
42111333000031000
520123134233323
61053405254400
7116233243041
oct22577001500
96440810540
102516321088
111081441306
125a2864400
133114251b8
1419c29c8c8
15eada1943
hex95fc0340

2516321088 has 168 divisors, whose sum is σ = 7838155520. Its totient is φ = 768890880.

The previous prime is 2516321051. The next prime is 2516321161. The reversal of 2516321088 is 8801236152.

It is a happy number.

2516321088 is a `hidden beast` number, since 2 + 5 + 1 + 632 + 10 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335556 + ... + 342972.

Almost surely, 22516321088 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 2516321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919077760).

2516321088 is an abundant number, since it is smaller than the sum of its proper divisors (5321834432).

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

2516321088 is a wasteful number, since it uses less digits than its factorization.

2516321088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2516321088 is about 50162.9453680702. The cubic root of 2516321088 is about 1360.1558875520.

The spelling of 2516321088 in words is "two billion, five hundred sixteen million, three hundred twenty-one thousand, eighty-eight".