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2516300112 = 2431916316927
BaseRepresentation
bin1001010111111011…
…1011000101010000
320111100212021211110
42111332323011100
520123133100422
61053405013320
7116233124634
oct22576730520
96440767743
102516300112
111081427577
125a2854240
133114187a1
1419c294dc4
15ead9a60c
hex95fbb150

2516300112 has 80 divisors (see below), whose sum is σ = 6884956160. Its totient is φ = 789699456.

The previous prime is 2516300099. The next prime is 2516300153. The reversal of 2516300112 is 2110036152.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 140193 + ... + 157119.

It is an arithmetic number, because the mean of its divisors is an integer number (86061952).

Almost surely, 22516300112 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 2516300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442478080).

2516300112 is an abundant number, since it is smaller than the sum of its proper divisors (4368656048).

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

2516300112 is a wasteful number, since it uses less digits than its factorization.

2516300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120 (or 17114 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2516300112 is about 50162.7362890024. The cubic root of 2516300112 is about 1360.1521081311.

Adding to 2516300112 its reverse (2110036152), we get a palindrome (4626336264).

The spelling of 2516300112 in words is "two billion, five hundred sixteen million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 163 228 304 326 456 489 652 912 978 1304 1956 2608 3097 3912 6194 7824 9291 12388 16927 18582 24776 33854 37164 49552 50781 67708 74328 101562 135416 148656 203124 270832 321613 406248 643226 812496 964839 1286452 1929678 2572904 2759101 3859356 5145808 5518202 7718712 8277303 11036404 15437424 16554606 22072808 33109212 44145616 52422919 66218424 104845838 132436848 157268757 209691676 314537514 419383352 629075028 838766704 1258150056 2516300112