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2009058876 = 223511414583
BaseRepresentation
bin111011110111111…
…1100111000111100
312012000101202200000
41313233330320330
513103304341001
6531205034300
7100533501336
oct16757747074
95160352600
102009058876
11941074740
124809b5990
132602c9746
14150b76456
15bb5a1a86
hex77bfce3c

2009058876 has 144 divisors (see below), whose sum is σ = 5886736128. Its totient is φ = 593827200.

The previous prime is 2009058853. The next prime is 2009058911. The reversal of 2009058876 is 6788509002.

It is a congruent number.

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, 436081 + ... + 440663.

It is an arithmetic number, because the mean of its divisors is an integer number (40880112).

Almost surely, 22009058876 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 2009058876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943368064).

2009058876 is an abundant number, since it is smaller than the sum of its proper divisors (3877677252).

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

2009058876 is a wasteful number, since it uses less digits than its factorization.

2009058876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2009058876 is about 44822.5264348185. The cubic root of 2009058876 is about 1261.8204298271.

The spelling of 2009058876 in words is "two billion, nine million, fifty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 81 82 99 108 123 132 162 164 198 243 246 297 324 369 396 451 486 492 594 738 891 902 972 1107 1188 1353 1476 1782 1804 2214 2673 2706 3321 3564 4059 4428 4583 5346 5412 6642 8118 9166 9963 10692 12177 13284 13749 16236 18332 19926 24354 27498 36531 39852 41247 48708 50413 54996 73062 82494 100826 109593 123741 146124 151239 164988 187903 201652 219186 247482 302478 371223 375806 438372 453717 494964 563709 604956 742446 751612 907434 1113669 1127418 1361151 1484892 1691127 1814868 2066933 2227338 2254836 2722302 3382254 4083453 4133866 4454676 5073381 5444604 6200799 6764508 8166906 8267732 10146762 12250359 12401598 15220143 16333812 18602397 20293524 24500718 24803196 30440286 37204794 45660429 49001436 55807191 60880572 74409588 91320858 111614382 167421573 182641716 223228764 334843146 502264719 669686292 1004529438 2009058876