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2543348416 = 2678368399
BaseRepresentation
bin1001011110011000…
…0110101011000000
320120020202111010111
42113212012223000
520202044122131
61100212441104
7120012050650
oct22746065300
96506674114
102543348416
111095721344
125ab919194
13316bc90bb
141a1ad6360
15ed43eab1
hex97986ac0

2543348416 has 56 divisors (see below), whose sum is σ = 5837529600. Its totient is φ = 1076858112.

The previous prime is 2543348399. The next prime is 2543348429. The reversal of 2543348416 is 6148433452.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2985 + ... + 71383.

It is an arithmetic number, because the mean of its divisors is an integer number (104241600).

Almost surely, 22543348416 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 2543348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918764800).

2543348416 is an abundant number, since it is smaller than the sum of its proper divisors (3294181184).

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

2543348416 is an equidigital number, since it uses as much as digits as its factorization.

2543348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68501 (or 68491 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 2543348416 is about 50431.6211914707. The cubic root of 2543348416 is about 1365.0082814688.

The spelling of 2543348416 in words is "two billion, five hundred forty-three million, three hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 4648 5312 9296 18592 37184 68399 136798 273596 478793 547192 957586 1094384 1915172 2188768 3830344 4377536 5677117 7660688 11354234 15321376 22708468 30642752 39739819 45416936 79479638 90833872 158959276 181667744 317918552 363335488 635837104 1271674208 2543348416