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5328583776 = 253271925733
BaseRepresentation
bin1001111011001101…
…11011110001100000
3111202100200002202200
410331212323301200
541403104140101
62240430013200
7246022133445
oct47546736140
914670602680
105328583776
11229493494a
121048647200
1366bc56b69
143879959cc
15212c0e986
hex13d9bbc60

5328583776 has 72 divisors (see below), whose sum is σ = 15174825120. Its totient is φ = 1773655296.

The previous prime is 5328583759. The next prime is 5328583789. The reversal of 5328583776 is 6773858235.

5328583776 is a `hidden beast` number, since 53 + 2 + 8 + 583 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194206 + ... + 219938.

It is an arithmetic number, because the mean of its divisors is an integer number (210761460).

Almost surely, 25328583776 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 5328583776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587412560).

5328583776 is an abundant number, since it is smaller than the sum of its proper divisors (9846241344).

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

5328583776 is a wasteful number, since it uses less digits than its factorization.

5328583776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26468 (or 26457 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 5328583776 is about 72997.1490950160. The cubic root of 5328583776 is about 1746.6421353766.

The spelling of 5328583776 in words is "five billion, three hundred twenty-eight million, five hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 719 1438 2157 2876 4314 5752 6471 8628 11504 12942 17256 23008 25733 25884 34512 51466 51768 69024 77199 102932 103536 154398 205864 207072 231597 308796 411728 463194 617592 823456 926388 1235184 1852776 2470368 3705552 7411104 18502027 37004054 55506081 74008108 111012162 148016216 166518243 222024324 296032432 333036486 444048648 592064864 666072972 888097296 1332145944 1776194592 2664291888 5328583776