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2812051134 = 233374371461
BaseRepresentation
bin1010011110011100…
…0111111010111110
321020222100222222000
42213213013322332
521224341114014
61143012003130
7126454016544
oct24747077276
97228328860
102812051134
111213369702
126659004a6
1335a7895a9
141c967dd94
15116d1a509
hexa79c7ebe

2812051134 has 128 divisors (see below), whose sum is σ = 6674088960. Its totient is φ = 876355200.

The previous prime is 2812051117. The next prime is 2812051169. The reversal of 2812051134 is 4311502182.

2812051134 is a `hidden beast` number, since 28 + 120 + 511 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2812051098 and 2812051107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6099664 + ... + 6100124.

It is an arithmetic number, because the mean of its divisors is an integer number (52141320).

Almost surely, 22812051134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812051134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337044480).

2812051134 is an abundant number, since it is smaller than the sum of its proper divisors (3862037826).

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

2812051134 is a wasteful number, since it uses less digits than its factorization.

2812051134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2812051134 is about 53028.7764708936. The cubic root of 2812051134 is about 1411.4789461569.

The spelling of 2812051134 in words is "two billion, eight hundred twelve million, fifty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 43 54 71 74 86 111 129 142 213 222 258 333 387 426 461 639 666 774 922 999 1161 1278 1383 1591 1917 1998 2322 2627 2766 3053 3182 3834 4149 4773 5254 6106 7881 8298 9159 9546 12447 14319 15762 17057 18318 19823 23643 24894 27477 28638 32731 34114 39646 42957 47286 51171 54954 59469 65462 70929 82431 85914 98193 102342 112961 118938 141858 153513 164862 178407 196386 225922 294579 307026 338883 356814 460539 535221 589158 677766 733451 883737 921078 1016649 1070442 1211047 1407433 1466902 1767474 2033298 2200353 2422094 2814866 3049947 3633141 4222299 4400706 6099894 6601059 7266282 8444598 10899423 12666897 13202118 19803177 21798846 25333794 32698269 38000691 39606354 52075021 65396538 76001382 104150042 156225063 312450126 468675189 937350378 1406025567 2812051134