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2544030016 = 261137101967
BaseRepresentation
bin1001011110100010…
…1101000101000000
320120022001010002221
42113220231011000
520202232430031
61100235220424
7120020620063
oct22750550500
96508033087
102544030016
111096047450
125abba7714
133170a7408
141a1c328da
15ed526a11
hex97a2d140

2544030016 has 112 divisors (see below), whose sum is σ = 5717999232. Its totient is φ = 1112832000.

The previous prime is 2544030011. The next prime is 2544030037. The reversal of 2544030016 is 6100304452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544030011) by changing a digit.

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, 2630365 + ... + 2631331.

Almost surely, 22544030016 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 2544030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858999616).

2544030016 is an abundant number, since it is smaller than the sum of its proper divisors (3173969216).

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

2544030016 is a wasteful number, since it uses less digits than its factorization.

2544030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2544030016 is about 50438.3784037512. The cubic root of 2544030016 is about 1365.1302082090.

Adding to 2544030016 its reverse (6100304452), we get a palindrome (8644334468).

The spelling of 2544030016 in words is "two billion, five hundred forty-four million, thirty thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 101 148 176 202 296 352 404 407 592 704 808 814 967 1111 1184 1616 1628 1934 2222 2368 3232 3256 3737 3868 4444 6464 6512 7474 7736 8888 10637 13024 14948 15472 17776 21274 26048 29896 30944 35552 35779 41107 42548 59792 61888 71104 71558 82214 85096 97667 119584 143116 164428 170192 195334 239168 286232 328856 340384 390668 393569 572464 657712 680768 781336 787138 1074337 1144928 1315424 1562672 1574276 2148674 2289856 2630848 3125344 3148552 3613679 4297348 6250688 6297104 7227358 8594696 12594208 14454716 17189392 25188416 28909432 34378784 39750469 57818864 68757568 79500938 115637728 159001876 231275456 318003752 636007504 1272015008 2544030016