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2506694568 = 233725713733
BaseRepresentation
bin1001010101101001…
…0001111110101000
320110200210021111120
42111122101332220
520113203211233
61052423055240
7116055360300
oct22532217650
96420707446
102506694568
111076a66804
1259b5a1520
1330c434631
1419acb4600
15ea0ee4b3
hex95691fa8

2506694568 has 96 divisors (see below), whose sum is σ = 7304600160. Its totient is φ = 714752640.

The previous prime is 2506694551. The next prime is 2506694579. The reversal of 2506694568 is 8654966052.

2506694568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2506694568.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669630 + ... + 673362.

It is an arithmetic number, because the mean of its divisors is an integer number (76089585).

Almost surely, 22506694568 is an apocalyptic number.

2506694568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506694568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652300080).

2506694568 is an abundant number, since it is smaller than the sum of its proper divisors (4797905592).

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

2506694568 is a wasteful number, since it uses less digits than its factorization.

2506694568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 2506694568 is about 50066.9009226655. The cubic root of 2506694568 is about 1358.4191854335.

The spelling of 2506694568 in words is "two billion, five hundred six million, six hundred ninety-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 571 588 1142 1176 1713 2284 3426 3733 3997 4568 6852 7466 7994 11199 11991 13704 14932 15988 22398 23982 26131 27979 29864 31976 44796 47964 52262 55958 78393 83937 89592 95928 104524 111916 156786 167874 182917 209048 223832 313572 335748 365834 548751 627144 671496 731668 1097502 1463336 2131543 2195004 4263086 4390008 6394629 8526172 12789258 14920801 17052344 25578516 29841602 44762403 51157032 59683204 89524806 104445607 119366408 179049612 208891214 313336821 358099224 417782428 626673642 835564856 1253347284 2506694568