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2544112420 = 2251494012129
BaseRepresentation
bin1001011110100100…
…0001001100100100
320120022012022010221
42113221001030210
520202243044140
61100241054124
7120021412243
oct22751011444
96508168127
102544112420
1110960a3353
125b0027344
13317105a85
141a1c5495a
15ed54114a
hex97a41324

2544112420 has 48 divisors (see below), whose sum is σ = 5394438000. Its totient is φ = 1007820800.

The previous prime is 2544112393. The next prime is 2544112451. The reversal of 2544112420 is 242114452.

It can be written as a sum of positive squares in 8 ways, for example, as 14424804 + 2529687616 = 3798^2 + 50296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193916 + ... + 1196044.

It is an arithmetic number, because the mean of its divisors is an integer number (112384125).

Almost surely, 22544112420 is an apocalyptic number.

2544112420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2544112420 is an abundant number, since it is smaller than the sum of its proper divisors (2850325580).

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

2544112420 is a wasteful number, since it uses less digits than its factorization.

2544112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2544112420 is about 50439.1952751033. The cubic root of 2544112420 is about 1365.1449474186.

Adding to 2544112420 its reverse (242114452), we get a palindrome (2786226872).

The spelling of 2544112420 in words is "two billion, five hundred forty-four million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 149 298 401 596 745 802 1490 1604 2005 2129 2980 4010 4258 8020 8516 10645 21290 42580 59749 119498 238996 298745 317221 597490 634442 853729 1194980 1268884 1586105 1707458 3172210 3414916 4268645 6344420 8537290 17074580 127205621 254411242 508822484 636028105 1272056210 2544112420