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36528634142 = 271113137133183
BaseRepresentation
bin100010000001010001…
…101011100100011110
310111021202001212202122
4202001101223210132
51044302312243032
624440411222542
72432133160430
oct420121534436
9114252055678
1036528634142
1114545509540
1270b5447a52
1335a1b30320
141aa7544650
15e3bd84012
hex88146b91e

36528634142 has 64 divisors (see below), whose sum is σ = 74105708544. Its totient is φ = 13041181440.

The previous prime is 36528634141. The next prime is 36528634159. The reversal of 36528634142 is 24143682563.

It is a super-3 number, since 3×365286341423 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 36528634093 and 36528634102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36528634141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207683 + ... + 340865.

It is an arithmetic number, because the mean of its divisors is an integer number (1157901696).

Almost surely, 236528634142 is an apocalyptic number.

36528634142 is an abundant number, since it is smaller than the sum of its proper divisors (37577074402).

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

36528634142 is a wasteful number, since it uses less digits than its factorization.

36528634142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133353.

The product of its digits is 829440, while the sum is 44.

The spelling of 36528634142 in words is "thirty-six billion, five hundred twenty-eight million, six hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 137 143 154 182 274 286 959 1001 1507 1781 1918 2002 3014 3562 10549 12467 19591 21098 24934 39182 133183 137137 266366 274274 932281 1465013 1731379 1864562 2930026 3462758 10255091 12119653 18246071 19045169 20510182 24239306 36492142 38090338 127722497 133316183 200706781 237198923 255444994 266632366 401413562 474397846 1404947467 1660392461 2609188153 2809894934 3320784922 5218376306 18264317071 36528634142