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3136036036 = 2271767107919
BaseRepresentation
bin1011101011101100…
…0001110011000100
322002120000010200211
42322323001303010
522410311123121
61235104045204
7140466603130
oct27273016304
98076003624
103136036036
11136a235321
12736303804
133ac934533
1421a6d83c0
151354b5ce1
hexbaec1cc4

3136036036 has 96 divisors (see below), whose sum is σ = 6810531840. Its totient is φ = 1233086976.

The previous prime is 3136036031. The next prime is 3136036063. The reversal of 3136036036 is 6306306313.

3136036036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3136036036 is a modest number, since divided by 36036 gives 3136 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3136035989 and 3136036007.

It is not an unprimeable number, because it can be changed into a prime (3136036031) 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, 3411985 + ... + 3412903.

It is an arithmetic number, because the mean of its divisors is an integer number (70943040).

Almost surely, 23136036036 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 3136036036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405265920).

3136036036 is an abundant number, since it is smaller than the sum of its proper divisors (3674495804).

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

3136036036 is a wasteful number, since it uses less digits than its factorization.

3136036036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

The square root of 3136036036 is about 56000.3217490757. The cubic root of 3136036036 is about 1463.7278905668.

The spelling of 3136036036 in words is "three billion, one hundred thirty-six million, thirty-six thousand, thirty-six".

Divisors: 1 2 4 7 14 17 28 34 67 68 107 119 134 214 238 268 428 469 476 749 919 938 1139 1498 1819 1838 1876 2278 2996 3638 3676 4556 6433 7169 7276 7973 12733 12866 14338 15623 15946 25466 25732 28676 31246 31892 50183 50932 61573 62492 98333 100366 109361 121873 123146 196666 200732 218722 243746 246292 393332 431011 437444 487492 688331 853111 862022 1046741 1376662 1671661 1706222 1724044 2093482 2753324 3343322 3412444 4186964 6588311 6686644 7327187 11701627 13176622 14654374 23403254 26353244 29308748 46118177 46806508 92236354 112001287 184472708 224002574 448005148 784009009 1568018018 3136036036