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2516172320 = 25516396479
BaseRepresentation
bin1001010111111001…
…1011111000100000
320111100121210112102
42111332123320200
520123120003240
61053402145532
7116232053234
oct22576337040
96440553472
102516172320
11108134a562
125a27b22a8
133113a257c
1419c2605c4
15ead72815
hex95f9be20

2516172320 has 48 divisors (see below), whose sum is σ = 5980988160. Its totient is φ = 1000283904.

The previous prime is 2516172317. The next prime is 2516172353. The reversal of 2516172320 is 232716152.

It is a happy number.

It is a super-2 number, since 2×25161723202 = 12662246287868364800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 22160 + ... + 74319.

It is an arithmetic number, because the mean of its divisors is an integer number (124603920).

Almost surely, 22516172320 is an apocalyptic number.

2516172320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2516172320 is an abundant number, since it is smaller than the sum of its proper divisors (3464815840).

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

2516172320 is a wasteful number, since it uses less digits than its factorization.

2516172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96657 (or 96649 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2516172320 is about 50161.4624986154. The cubic root of 2516172320 is about 1360.1290823270.

Adding to 2516172320 its reverse (232716152), we get a palindrome (2748888472).

The spelling of 2516172320 in words is "two billion, five hundred sixteen million, one hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 1304 1630 2608 3260 5216 6520 13040 26080 96479 192958 385916 482395 771832 964790 1543664 1929580 3087328 3859160 7718320 15436640 15726077 31452154 62904308 78630385 125808616 157260770 251617232 314521540 503234464 629043080 1258086160 2516172320