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2068815528 = 2332132170021
BaseRepresentation
bin111101101001111…
…1001111010101000
312100011211201101100
41323103321322220
513214104044103
6541141521400
7102160433103
oct17323717250
95304751340
102068815528
119718797aa
12498a13260
1326c7bca00
14158a8d73a
15c19575a3
hex7b4f9ea8

2068815528 has 72 divisors (see below), whose sum is σ = 6067235070. Its totient is φ = 636554880.

The previous prime is 2068815517. The next prime is 2068815563. The reversal of 2068815528 is 8255188602.

It can be written as a sum of positive squares in 3 ways, for example, as 1107691524 + 961124004 = 33282^2 + 31002^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72843 + ... + 97178.

Almost surely, 22068815528 is an apocalyptic number.

It is an amenable number.

2068815528 is an abundant number, since it is smaller than the sum of its proper divisors (3998419542).

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

2068815528 is a wasteful number, since it uses less digits than its factorization.

2068815528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170059 (or 170039 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 2068815528 is about 45484.2338398703. The cubic root of 2068815528 is about 1274.2087676759.

The spelling of 2068815528 in words is "two billion, sixty-eight million, eight hundred fifteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 170021 340042 510063 680084 1020126 1360168 1530189 2040252 2210273 3060378 4080504 4420546 6120756 6630819 8841092 12241512 13261638 17682184 19892457 26523276 28733549 39784914 53046552 57467098 79569828 86200647 114934196 159139656 172401294 229868392 258601941 344802588 517203882 689605176 1034407764 2068815528