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2012542506 = 2321331421659
BaseRepresentation
bin111011111110100…
…1111011000101010
312012020221202022100
41313331033120222
513110202330011
6531411434230
7100605220602
oct16775173052
95166852270
102012542506
11943033a77
12481bb5976
13260c49270
14151401c02
15bba3dd56
hex77f4f62a

2012542506 has 96 divisors (see below), whose sum is σ = 4866301440. Its totient is φ = 596937600.

The previous prime is 2012542471. The next prime is 2012542531. The reversal of 2012542506 is 6052452102.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2012542506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3053605 + ... + 3054263.

It is an arithmetic number, because the mean of its divisors is an integer number (50690640).

Almost surely, 22012542506 is an apocalyptic number.

2012542506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012542506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433150720).

2012542506 is an abundant number, since it is smaller than the sum of its proper divisors (2853758934).

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

2012542506 is a wasteful number, since it uses less digits than its factorization.

2012542506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2012542506 is about 44861.3698631685. The cubic root of 2012542506 is about 1262.5493245572.

Adding to 2012542506 its reverse (6052452102), we get a palindrome (8064994608).

The spelling of 2012542506 in words is "two billion, twelve million, five hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 421 558 659 806 842 1209 1263 1318 1977 2418 2526 3627 3789 3954 5473 5931 7254 7578 8567 10946 11862 13051 16419 17134 20429 25701 26102 32838 39153 40858 49257 51402 61287 77103 78306 98514 117459 122574 154206 169663 183861 234918 265577 277439 339326 367722 508989 531154 554878 796731 832317 1017978 1526967 1593462 1664634 2390193 2496951 3053934 3606707 4780386 4993902 7213414 8600609 10820121 17201218 21640242 25801827 32460363 51603654 64920726 77405481 111807917 154810962 223615834 335423751 670847502 1006271253 2012542506