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5341385728 = 21072106453
BaseRepresentation
bin1001111100101111…
…10001010000000000
3111210020202111202001
410332113301100000
541414343320403
62242004233344
7246236013100
oct47627612000
914706674661
105341385728
1122a1089178
12105099b854
136717b9b93
14389569200
15213ddcc1d
hex13e5f1400

5341385728 has 66 divisors (see below), whose sum is σ = 12420946266. Its totient is φ = 2289143808.

The previous prime is 5341385723. The next prime is 5341385743. The reversal of 5341385728 is 8275831435.

It can be written as a sum of positive squares in only one way, i.e., 5073997824 + 267387904 = 71232^2 + 16352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341385723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3051 + ... + 103402.

Almost surely, 25341385728 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 5341385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210473133).

5341385728 is an abundant number, since it is smaller than the sum of its proper divisors (7079560538).

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

5341385728 is a wasteful number, since it uses less digits than its factorization.

5341385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106487 (or 106462 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The square root of 5341385728 is about 73084.7845177093. The cubic root of 5341385728 is about 1748.0397891475.

The spelling of 5341385728 in words is "five billion, three hundred forty-one million, three hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 12544 25088 50176 106453 212906 425812 745171 851624 1490342 1703248 2980684 3406496 5216197 5961368 6812992 10432394 11922736 13625984 20864788 23845472 27251968 41729576 47690944 54503936 83459152 95381888 109007872 166918304 190763776 333836608 381527552 667673216 763055104 1335346432 2670692864 5341385728