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5392579968 = 27334733199
BaseRepresentation
bin1010000010110110…
…00011110110000000
3111220211002110001000
411001123003312000
542021000024333
62251033412000
7250430113326
oct50133036600
914824073030
105392579968
112317a75166
121065b6a000
1367c2a2a29
14392293d16
15218651713
hex1416c3d80

5392579968 has 128 divisors (see below), whose sum is σ = 16254720000. Its totient is φ = 1759228416.

The previous prime is 5392579963. The next prime is 5392580009. The reversal of 5392579968 is 8699752935.

5392579968 is a `hidden beast` number, since 53 + 9 + 2 + 579 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×53925799682 = 58159837422549762048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5392579963) 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, 145833 + ... + 179031.

It is an arithmetic number, because the mean of its divisors is an integer number (126990000).

Almost surely, 25392579968 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 5392579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127360000).

5392579968 is an abundant number, since it is smaller than the sum of its proper divisors (10862140032).

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

5392579968 is a wasteful number, since it uses less digits than its factorization.

5392579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33269 (or 33251 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The square root of 5392579968 is about 73434.1880053153. The cubic root of 5392579968 is about 1753.6067077327.

The spelling of 5392579968 in words is "five billion, three hundred ninety-two million, five hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 282 288 376 384 423 432 564 576 752 846 864 1128 1152 1269 1504 1692 1728 2256 2538 3008 3384 3456 4512 5076 6016 6768 9024 10152 13536 18048 20304 27072 33199 40608 54144 66398 81216 99597 132796 162432 199194 265592 298791 398388 531184 597582 796776 896373 1062368 1195164 1560353 1593552 1792746 2124736 2390328 3120706 3187104 3585492 4249472 4681059 4780656 6241412 6374208 7170984 9362118 9561312 12482824 12748416 14043177 14341968 18724236 19122624 24965648 28086354 28683936 37448472 38245248 42129531 49931296 56172708 57367872 74896944 84259062 99862592 112345416 114735744 149793888 168518124 199725184 224690832 299587776 337036248 449381664 599175552 674072496 898763328 1348144992 1797526656 2696289984 5392579968