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2743113472 = 28111757301
BaseRepresentation
bin1010001110000000…
…1001011100000000
321002011122121021021
42203200021130000
521104214112342
61132110235224
7124656036241
oct24340113400
97064577237
102743113472
111188463830
126467b5b14
13349400488
141c0456cc8
15110c4e567
hexa3809700

2743113472 has 72 divisors (see below), whose sum is σ = 6324765552. Its totient is φ = 1173504000.

The previous prime is 2743113449. The next prime is 2743113473.

2743113472 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743113473) 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, 19222 + ... + 76522.

It is an arithmetic number, because the mean of its divisors is an integer number (87843966).

Almost surely, 22743113472 is an apocalyptic number.

2743113472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2743113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162382776).

2743113472 is an abundant number, since it is smaller than the sum of its proper divisors (3581652080).

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

2743113472 is a wasteful number, since it uses less digits than its factorization.

2743113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57345 (or 57331 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 2743113472 is about 52374.7407821748. The cubic root of 2743113472 is about 1399.8492136922.

The spelling of 2743113472 in words is "two billion, seven hundred forty-three million, one hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1408 1496 2176 2816 2992 4352 5984 11968 23936 47872 57301 114602 229204 458408 630311 916816 974117 1260622 1833632 1948234 2521244 3667264 3896468 5042488 7334528 7792936 10084976 10715287 14669056 15585872 20169952 21430574 31171744 40339904 42861148 62343488 80679808 85722296 124686976 161359616 171444592 249373952 342889184 685778368 1371556736 2743113472