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2494585216 = 27193241419
BaseRepresentation
bin1001010010110000…
…0101100110000000
320102212000001121001
42110230011212000
520102103211331
61051311341344
7115550424124
oct22454054600
96385001531
102494585216
111070145882
12597521854
13309a84936
14199441584
15e900b561
hex94b05980

2494585216 has 64 divisors (see below), whose sum is σ = 5028130800. Its totient is φ = 1232732160.

The previous prime is 2494585157. The next prime is 2494585229. The reversal of 2494585216 is 6125854942.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5953455 + ... + 5953873.

Almost surely, 22494585216 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 2494585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514065400).

2494585216 is an abundant number, since it is smaller than the sum of its proper divisors (2533545584).

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

2494585216 is a wasteful number, since it uses less digits than its factorization.

2494585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The square root of 2494585216 is about 49945.8228083190. The cubic root of 2494585216 is about 1356.2282343382.

The spelling of 2494585216 in words is "two billion, four hundred ninety-four million, five hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 241 386 419 482 772 838 964 1544 1676 1928 3088 3352 3856 6176 6704 7712 12352 13408 15424 24704 26816 30848 46513 53632 80867 93026 100979 161734 186052 201958 323468 372104 403916 646936 744208 807832 1293872 1488416 1615664 2587744 2976832 3231328 5175488 5953664 6462656 10350976 12925312 19488947 38977894 77955788 155911576 311823152 623646304 1247292608 2494585216