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2544006912 = 28313923831
BaseRepresentation
bin1001011110100010…
…0111011100000000
320120021222221102020
42113220213130000
520202231210122
61100234521440
7120020462526
oct22750473400
96507887366
102544006912
111096031057
125abb96280
13317099a45
141a1c28316
15ed51ec5c
hex97a27700

2544006912 has 72 divisors (see below), whose sum is σ = 6819765120. Its totient is φ = 841866240.

The previous prime is 2544006911. The next prime is 2544006937. The reversal of 2544006912 is 2196004452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544006911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94837 + ... + 118667.

It is an arithmetic number, because the mean of its divisors is an integer number (94718960).

Almost surely, 22544006912 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 2544006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409882560).

2544006912 is an abundant number, since it is smaller than the sum of its proper divisors (4275758208).

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

2544006912 is a wasteful number, since it uses less digits than its factorization.

2544006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23989 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2544006912 is about 50438.1493712844. The cubic root of 2544006912 is about 1365.1260756498.

The spelling of 2544006912 in words is "two billion, five hundred forty-four million, six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 834 1112 1668 2224 3336 4448 6672 8896 13344 17792 23831 26688 35584 47662 53376 71493 95324 106752 142986 190648 285972 381296 571944 762592 1143888 1525184 2287776 3050368 3312509 4575552 6100736 6625018 9151104 9937527 13250036 18302208 19875054 26500072 39750108 53000144 79500216 106000288 159000432 212000576 318000864 424001152 636001728 848002304 1272003456 2544006912