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53583525328356 = 22327132576436543
BaseRepresentation
bin11000010111011111000101…
…11111100011010111100100
321000201112110000021120012100
430023233202333203113210
524010403024441001411
6305543533125452100
714200165465216452
oct1413574277432744
9230645400246170
1053583525328356
1116089711145751
126014a1a271030
1323b8b9b99c85a
14d336567719d2
1562dc6cc17456
hex30bbe2fe35e4

53583525328356 has 72 divisors (see below), whose sum is σ = 137397145826304. Its totient is φ = 17604199831680.

The previous prime is 53583525328339. The next prime is 53583525328429. The reversal of 53583525328356 is 65382352538535.

53583525328356 is a `hidden beast` number, since 5 + 3 + 5 + 8 + 3 + 5 + 253 + 28 + 356 = 666.

It is a super-2 number, since 2×535835253283562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53583525328293 and 53583525328302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5106621 + ... + 11543163.

It is an arithmetic number, because the mean of its divisors is an integer number (1908293692032).

Almost surely, 253583525328356 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 53583525328356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68698572913152).

53583525328356 is an abundant number, since it is smaller than the sum of its proper divisors (83813620497948).

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

53583525328356 is a wasteful number, since it uses less digits than its factorization.

53583525328356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439881 (or 6439876 counting only the distinct ones).

The product of its digits is 388800000, while the sum is 63.

The spelling of 53583525328356 in words is "fifty-three trillion, five hundred eighty-three billion, five hundred twenty-five million, three hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 3257 6514 9771 13028 19542 29313 39084 58626 117252 231247 462494 693741 924988 1387482 2081223 2774964 4162446 6436543 8324892 12873086 19309629 25746172 38619258 57928887 77238516 115857774 231715548 456994553 913989106 1370983659 1827978212 2741967318 4112950977 5483934636 8225901954 16451803908 20963820551 41927641102 62891461653 83855282204 125782923306 188674384959 251565846612 377348769918 754697539836 1488431259121 2976862518242 4465293777363 5953725036484 8930587554726 13395881332089 17861175109452 26791762664178 53583525328356