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2106856818 = 234111724091
BaseRepresentation
bin111110110010100…
…0001010101110010
312102211102102020000
41331211001111302
513303323404233
6545021130430
7103131662463
oct17545012562
95384372200
102106856818
119912a1790
124a96b9a16
1327764bb51
1415db52d6a
15c4e6dd13
hex7d941572

2106856818 has 120 divisors (see below), whose sum is σ = 5472198864. Its totient is φ = 600739200.

The previous prime is 2106856771. The next prime is 2106856837. The reversal of 2106856818 is 8186586012.

2106856818 is a `hidden beast` number, since 2 + 10 + 68 + 568 + 18 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 512953 + ... + 517043.

Almost surely, 22106856818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106856818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736099432).

2106856818 is an abundant number, since it is smaller than the sum of its proper divisors (3365342046).

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

2106856818 is a wasteful number, since it uses less digits than its factorization.

2106856818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2106856818 is about 45900.5099971667. The cubic root of 2106856818 is about 1281.9714124156.

The spelling of 2106856818 in words is "two billion, one hundred six million, eight hundred fifty-six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 289 297 306 374 459 561 578 594 867 891 918 1122 1377 1683 1734 1782 2601 2754 3179 3366 4091 5049 5202 6358 7803 8182 9537 10098 12273 15147 15606 19074 23409 24546 28611 30294 36819 45001 46818 57222 69547 73638 85833 90002 110457 135003 139094 171666 208641 220914 257499 270006 331371 405009 417282 514998 625923 662742 765017 810018 1182299 1215027 1251846 1530034 1877769 2295051 2364598 2430054 3546897 3645081 3755538 4590102 5633307 6885153 7093794 7290162 10640691 11266614 13005289 13770306 20655459 21281382 26010578 31922073 39015867 41310918 61966377 63844146 78031734 95766219 117047601 123932754 191532438 234095202 351142803 702285606 1053428409 2106856818