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2012290056 = 2332722324799
BaseRepresentation
bin111011111110001…
…0001110000001000
312012020110221000100
41313330101300020
513110121240211
6531402205400
7100603116600
oct16774216010
95166427010
102012290056
11942981337
12481ab3860
13260b8b39a
14151377c00
15bb9de156
hex77f11c08

2012290056 has 144 divisors (see below), whose sum is σ = 6615648000. Its totient is φ = 549920448.

The previous prime is 2012290039. The next prime is 2012290067. The reversal of 2012290056 is 6500922102.

It is a super-2 number, since 2×20122900562 = 8098622538952966272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68745 + ... + 93543.

It is an arithmetic number, because the mean of its divisors is an integer number (45942000).

Almost surely, 22012290056 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 2012290056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824000).

2012290056 is an abundant number, since it is smaller than the sum of its proper divisors (4603357944).

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

2012290056 is a wasteful number, since it uses less digits than its factorization.

2012290056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24848 (or 24834 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2012290056 is about 44858.5561069458. The cubic root of 2012290056 is about 1262.4965316508.

The spelling of 2012290056 in words is "two billion, twelve million, two hundred ninety thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2898 3381 3528 3864 4508 5796 6762 9016 10143 11592 13524 20286 24799 27048 40572 49598 74397 81144 99196 148794 173593 198392 223191 297588 347186 446382 520779 570377 595176 694372 892764 1041558 1140754 1215151 1388744 1562337 1711131 1785528 2083116 2281508 2430302 3124674 3422262 3645453 3992639 4166232 4563016 4860604 5133393 6249348 6844524 7290906 7985278 9721208 10266786 10936359 11977917 12498696 13689048 14581812 15970556 20533572 21872718 23955834 27948473 29163624 31941112 35933751 41067144 43745436 47911668 55896946 71867502 83845419 87490872 95823336 111793892 143735004 167690838 223587784 251536257 287470008 335381676 503072514 670763352 1006145028 2012290056