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2543119416 = 23364310141
BaseRepresentation
bin1001011110010100…
…1110110000111000
320120020022212000000
42113211032300320
520202014310131
61100203513000
7120010105215
oct22745166070
96506285000
102543119416
111095585292
125ab828760
13316b48ab6
141a1a76b0c
15ed3e6ce6
hex9794ec38

2543119416 has 112 divisors (see below), whose sum is σ = 7316235960. Its totient is φ = 827910720.

The previous prime is 2543119367. The next prime is 2543119451. The reversal of 2543119416 is 6149113452.

It is a happy number.

2543119416 is a `hidden beast` number, since 2 + 543 + 11 + 94 + 16 = 666.

2543119416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 245706 + ... + 255846.

Almost surely, 22543119416 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 2543119416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658117980).

2543119416 is an abundant number, since it is smaller than the sum of its proper divisors (4773116544).

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

2543119416 is a wasteful number, since it uses less digits than its factorization.

2543119416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10208 (or 10189 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 2543119416 is about 50429.3507394255. The cubic root of 2543119416 is about 1364.9673123437.

The spelling of 2543119416 in words is "two billion, five hundred forty-three million, one hundred nineteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 729 774 972 1032 1161 1458 1548 1944 2322 2916 3096 3483 4644 5832 6966 9288 10141 10449 13932 20282 20898 27864 30423 31347 40564 41796 60846 62694 81128 83592 91269 121692 125388 182538 243384 250776 273807 365076 436063 547614 730152 821421 872126 1095228 1308189 1642842 1744252 2190456 2464263 2616378 3285684 3488504 3924567 4928526 5232756 6571368 7392789 7849134 9857052 10465512 11773701 14785578 15698268 19714104 23547402 29571156 31396536 35321103 47094804 59142312 70642206 94189608 105963309 141284412 211926618 282568824 317889927 423853236 635779854 847706472 1271559708 2543119416