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5341456016 = 2413196472089
BaseRepresentation
bin1001111100110000…
…00010011010010000
3111210020220002011022
410332120002122100
541414403043031
62242005535012
7246236425031
oct47630023220
914706802138
105341456016
1122a1126a66
121050a14468
13671812b80
14389586a88
15213e0397b
hex13e602690

5341456016 has 80 divisors (see below), whose sum is σ = 11755497600. Its totient is φ = 2330809344.

The previous prime is 5341455989. The next prime is 5341456019. The reversal of 5341456016 is 6106541435.

It is not an unprimeable number, because it can be changed into a prime (5341456019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2555900 + ... + 2557988.

It is an arithmetic number, because the mean of its divisors is an integer number (146943720).

Almost surely, 25341456016 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 5341456016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877748800).

5341456016 is an abundant number, since it is smaller than the sum of its proper divisors (6414041584).

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

5341456016 is a wasteful number, since it uses less digits than its factorization.

5341456016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 5341456016 is about 73085.2653822917. The cubic root of 5341456016 is about 1748.0474566760.

The spelling of 5341456016 in words is "five billion, three hundred forty-one million, four hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 647 988 1294 1976 2089 2588 3952 4178 5176 8356 8411 10352 12293 16712 16822 24586 27157 33424 33644 39691 49172 54314 67288 79382 98344 108628 134576 158764 159809 196688 217256 317528 319618 434512 515983 635056 639236 1031966 1278472 1351583 2063932 2556944 2703166 4127864 5406332 8255728 10812664 17570579 21625328 25680077 35141158 51360154 70282316 102720308 140564632 205440616 281129264 333841001 410881232 667682002 1335364004 2670728008 5341456016