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189482941882144 = 251710320111681597
BaseRepresentation
bin101011000101010101101111…
…011100010001111100100000
3220211220101121000022220212201
4223011111233130101330200
5144313442031110212034
61510555132314302544
754624455640311521
oct5305255734217440
9824811530286781
10189482941882144
115541429a978479
1219303091a27a54
13819621ac54141
1434b1047dc4848
1516d8d45bb1014
hexac556f711f20

189482941882144 has 96 divisors (see below), whose sum is σ = 399021734756736. Its totient is φ = 88258767851520.

The previous prime is 189482941882141. The next prime is 189482941882159. The reversal of 189482941882144 is 441288149284981.

189482941882144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (189482941882141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111839554 + ... + 113521150.

It is an arithmetic number, because the mean of its divisors is an integer number (4156476403716).

Almost surely, 2189482941882144 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 189482941882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199510867378368).

189482941882144 is an abundant number, since it is smaller than the sum of its proper divisors (209538792874592).

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

189482941882144 is a wasteful number, since it uses less digits than its factorization.

189482941882144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683738 (or 1683730 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 73.

The spelling of 189482941882144 in words is "one hundred eighty-nine trillion, four hundred eighty-two billion, nine hundred forty-one million, eight hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 103 136 206 272 412 544 824 1648 1751 2011 3296 3502 4022 7004 8044 14008 16088 28016 32176 34187 56032 64352 68374 136748 207133 273496 414266 546992 828532 1093984 1657064 1681597 3314128 3363194 3521261 6628256 6726388 7042522 13452776 14085044 26905552 28170088 28587149 53811104 56340176 57174298 112680352 114348596 173204491 228697192 346408982 457394384 692817964 914788768 1385635928 2771271856 2944476347 3381691567 5542543712 5888952694 6763383134 11777905388 13526766268 23555810776 27053532536 47111621552 54107065072 57488756639 94223243104 108214130144 114977513278 229955026556 348314231401 459910053112 696628462802 919820106224 1393256925604 1839640212448 2786513851208 5573027702416 5921341933817 11146055404832 11842683867634 23685367735268 47370735470536 94741470941072 189482941882144