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5425871616 = 28331171363
BaseRepresentation
bin1010000110110100…
…00011101100000000
3112000010201211121000
411003122003230000
542103010342431
62254223132000
7251313101454
oct50332035400
915003654530
105425871616
112334843720
121075144000
1368615b029
1439687c664
1521b52a9e6
hex143683b00

5425871616 has 144 divisors (see below), whose sum is σ = 17504161920. Its totient is φ = 1644180480.

The previous prime is 5425871587. The next prime is 5425871641. The reversal of 5425871616 is 6161785245.

5425871616 is a `hidden beast` number, since 5 + 4 + 2 + 587 + 1 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40351 + ... + 111713.

It is an arithmetic number, because the mean of its divisors is an integer number (121556680).

Almost surely, 25425871616 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 5425871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752080960).

5425871616 is an abundant number, since it is smaller than the sum of its proper divisors (12078290304).

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

5425871616 is a wasteful number, since it uses less digits than its factorization.

5425871616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71399 (or 71379 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5425871616 is about 73660.5159905902. The cubic root of 5425871616 is about 1757.2079974491.

The spelling of 5425871616 in words is "five billion, four hundred twenty-five million, eight hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 71363 76032 142726 214089 285452 428178 570904 642267 784993 856356 1141808 1284534 1569986 1712712 1926801 2283616 2354979 2569068 3139972 3425424 3853602 4567232 4709958 5138136 6279944 6850848 7064937 7707204 9134464 9419916 10276272 12559888 13701696 14129874 15414408 18268928 18839832 20552544 21194811 25119776 27403392 28259748 30828816 37679664 41105088 42389622 50239552 54806784 56519496 61657632 75359328 82210176 84779244 100479104 113038992 123315264 150718656 164420352 169558488 200958208 226077984 246630528 301437312 339116976 452155968 493261056 602874624 678233952 904311936 1356467904 1808623872 2712935808 5425871616