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2543938368 = 263233118583
BaseRepresentation
bin1001011110100001…
…0110101101000000
320120021212110101120
42113220112231000
520202222011433
61100233232240
7120020055636
oct22750265500
96507773346
102543938368
111095a94604
125abb62680
1331707479a
141a1c0b356
15ed5097b3
hex97a16b40

2543938368 has 112 divisors (see below), whose sum is σ = 7250436096. Its totient is φ = 784903680.

The previous prime is 2543938339. The next prime is 2543938381. The reversal of 2543938368 is 8638393452.

It is a self number, because there is not a number n which added to its sum of digits gives 2543938368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127605 + ... + 146187.

Almost surely, 22543938368 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 2543938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625218048).

2543938368 is an abundant number, since it is smaller than the sum of its proper divisors (4706497728).

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

2543938368 is a wasteful number, since it uses less digits than its factorization.

2543938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18652 (or 18642 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 2543938368 is about 50437.4698810319. The cubic root of 2543938368 is about 1365.1138151954.

The spelling of 2543938368 in words is "two billion, five hundred forty-three million, nine hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 496 552 713 736 744 992 1104 1426 1472 1488 1984 2139 2208 2852 2976 4278 4416 5704 5952 8556 11408 17112 18583 22816 34224 37166 45632 55749 68448 74332 111498 136896 148664 222996 297328 427409 445992 576073 594656 854818 891984 1152146 1189312 1282227 1709636 1728219 1783968 2304292 2564454 3419272 3456438 3567936 4608584 5128908 6838544 6912876 9217168 10257816 13249679 13677088 13825752 18434336 20515632 26499358 27354176 27651504 36868672 39749037 41031264 52998716 55303008 79498074 82062528 105997432 110606016 158996148 211994864 317992296 423989728 635984592 847979456 1271969184 2543938368