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2494674144 = 2532101139617
BaseRepresentation
bin1001010010110001…
…1011010011100000
320102212011120120200
42110230123103200
520102114033034
61051313305200
7115551244314
oct22454332340
96385146520
102494674144
1110701a6676
12597565200
13309ab6261
14199465b44
15e9027a99
hex94b1b4e0

2494674144 has 144 divisors (see below), whose sum is σ = 7227707760. Its totient is φ = 816076800.

The previous prime is 2494674137. The next prime is 2494674157. The reversal of 2494674144 is 4414764942.

2494674144 is a `hidden beast` number, since 2 + 49 + 467 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2494674144.

It is a congruent number.

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, 4042924 + ... + 4043540.

It is an arithmetic number, because the mean of its divisors is an integer number (50192415).

Almost surely, 22494674144 is an apocalyptic number.

2494674144 is a gapful number since it is divisible by the number (24) 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 2494674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613853880).

2494674144 is an abundant number, since it is smaller than the sum of its proper divisors (4733033616).

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

2494674144 is a wasteful number, since it uses less digits than its factorization.

2494674144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2494674144 is about 49946.7130450043. The cubic root of 2494674144 is about 1356.2443499407.

The spelling of 2494674144 in words is "two billion, four hundred ninety-four million, six hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 139 144 202 278 288 303 404 417 556 606 617 808 834 909 1112 1212 1234 1251 1616 1668 1818 1851 2224 2424 2468 2502 3232 3336 3636 3702 4448 4848 4936 5004 5553 6672 7272 7404 9696 9872 10008 11106 13344 14039 14544 14808 19744 20016 22212 28078 29088 29616 40032 42117 44424 56156 59232 62317 84234 85763 88848 112312 124634 126351 168468 171526 177696 186951 224624 249268 252702 257289 336936 343052 373902 449248 498536 505404 514578 560853 673872 686104 747804 771867 997072 1010808 1029156 1121706 1347744 1372208 1495608 1543734 1994144 2021616 2058312 2243412 2744416 2991216 3087468 4043232 4116624 4486824 5982432 6174936 8233248 8662063 8973648 12349872 17324126 17947296 24699744 25986189 34648252 51972378 69296504 77958567 103944756 138593008 155917134 207889512 277186016 311834268 415779024 623668536 831558048 1247337072 2494674144