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2966109444 = 22322923132
BaseRepresentation
bin1011000011001011…
…0011110100000100
321122201020222020100
42300302303310010
522033311000234
61210154004100
7133334341254
oct26062636404
97581228210
102966109444
111292322a21
126a9416630
1338367975c
14201d03964
151255ec399
hexb0cb3d04

2966109444 has 81 divisors (see below), whose sum is σ = 7790008863. Its totient is φ = 951560064.

The previous prime is 2966109407. The next prime is 2966109449. The reversal of 2966109444 is 4449016692.

The square root of 2966109444 is 54462.

It is a perfect power (a square), and thus also a powerful number.

2966109444 is a `hidden beast` number, since 29 + 6 + 610 + 9 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1175804100 + 1790305344 = 34290^2 + 42312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2966109444.

It is not an unprimeable number, because it can be changed into a prime (2966109449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9476232 + ... + 9476544.

Almost surely, 22966109444 is an apocalyptic number.

2966109444 is the 54462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2966109444

2966109444 is an abundant number, since it is smaller than the sum of its proper divisors (4823899419).

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

2966109444 is a wasteful number, since it uses less digits than its factorization.

2966109444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The cubic root of 2966109444 is about 1436.7980300842.

The spelling of 2966109444 in words is "two billion, nine hundred sixty-six million, one hundred nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 313 348 522 626 841 939 1044 1252 1682 1878 2523 2817 3364 3756 5046 5634 7569 9077 10092 11268 15138 18154 27231 30276 36308 54462 81693 97969 108924 163386 195938 263233 293907 326772 391876 526466 587814 789699 881721 1052932 1175628 1579398 1763442 2369097 2841101 3158796 3526884 4738194 5682202 8523303 9476388 11364404 17046606 25569909 34093212 51139818 82391929 102279636 164783858 247175787 329567716 494351574 741527361 988703148 1483054722 2966109444