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2893825949112 = 233372727170181
BaseRepresentation
bin101010000111000101011…
…101111011110110111000
3101020122110201001122121000
4222013011131323312320
5334403023420332422
610053223313045000
7416033463500160
oct52070535736670
911218421048530
102893825949112
11a162a034088a
123a8a14556760
1317cb6ab84617
14a00c1cbb5a0
155041d490cac
hex2a1c577bdb8

2893825949112 has 128 divisors (see below), whose sum is σ = 9187216819200. Its totient is φ = 826765315200.

The previous prime is 2893825949041. The next prime is 2893825949117. The reversal of 2893825949112 is 2119495283982.

2893825949112 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 82 + 59 + 491 + 12 = 666.

It is a super-3 number, since 3×28938259491123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2893825949112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893825949117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41198662 + ... + 41268842.

It is an arithmetic number, because the mean of its divisors is an integer number (71775131400).

Almost surely, 22893825949112 is an apocalyptic number.

It is an amenable number.

2893825949112 is an abundant number, since it is smaller than the sum of its proper divisors (6293390870088).

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

2893825949112 is a wasteful number, since it uses less digits than its factorization.

2893825949112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97474 (or 97464 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 2893825949112 in words is "two trillion, eight hundred ninety-three billion, eight hundred twenty-five million, nine hundred forty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 27271 54542 70181 81813 109084 140362 163626 190897 210543 218168 245439 280724 327252 381794 421086 490878 491267 561448 572691 631629 654504 736317 763588 842172 981756 982534 1145382 1263258 1472634 1473801 1527176 1684344 1718073 1894887 1963512 1965068 2290764 2526516 2945268 2947602 3436146 3789774 3930136 4421403 4581528 5053032 5154219 5890536 5895204 6872292 7579548 8842806 10308438 11790408 13264209 13744584 15159096 17685612 20616876 26528418 35371224 41233752 53056836 106113672 1913906051 3827812102 5741718153 7655624204 11483436306 13397342357 15311248408 17225154459 22966872612 26794684714 34450308918 40192027071 45933745224 51675463377 53589369428 68900617836 80384054142 103350926754 107178738856 120576081213 137801235672 160768108284 206701853508 241152162426 321536216568 361728243639 413403707016 482304324852 723456487278 964608649704 1446912974556 2893825949112