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2151636036 = 2231131071259
BaseRepresentation
bin1000000000111111…
…0101110001000100
312112221200102202120
42000033311301010
513401304323121
6553301005540
7104214414234
oct20017656104
95487612676
102151636036
11a045a7000
125006b38b0
132839c9b24
14165a8bcc4
15c8d66bc6
hex803f5c44

2151636036 has 96 divisors (see below), whose sum is σ = 5578191360. Its totient is φ = 645404320.

The previous prime is 2151636029. The next prime is 2151636037. The reversal of 2151636036 is 6306361512.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2151635988 and 2151636006.

It is not an unprimeable number, because it can be changed into a prime (2151636037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708375 + ... + 1709633.

It is an arithmetic number, because the mean of its divisors is an integer number (58106160).

Almost surely, 22151636036 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 2151636036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789095680).

2151636036 is an abundant number, since it is smaller than the sum of its proper divisors (3426555324).

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

2151636036 is a wasteful number, since it uses less digits than its factorization.

2151636036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 2151636036 is about 46385.7309525246. The cubic root of 2151636036 is about 1290.9901730097.

Adding to 2151636036 its reverse (6306361512), we get a palindrome (8457997548).

The spelling of 2151636036 in words is "two billion, one hundred fifty-one million, six hundred thirty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 121 132 214 242 321 363 428 484 642 726 1177 1259 1284 1331 1452 2354 2518 2662 3531 3777 3993 4708 5036 5324 7062 7554 7986 12947 13849 14124 15108 15972 25894 27698 38841 41547 51788 55396 77682 83094 134713 142417 152339 155364 166188 269426 284834 304678 404139 427251 457017 538852 569668 609356 808278 854502 914034 1481843 1616556 1675729 1709004 1828068 2963686 3351458 4445529 5027187 5927372 6702916 8891058 10054374 16300273 17782116 20108748 32600546 48900819 65201092 97801638 179303003 195603276 358606006 537909009 717212012 1075818018 2151636036