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4364319969 = 32194612
BaseRepresentation
bin1000001000010001…
…00011110011100001
3102021011020102111100
410010020203303201
532414231214334
62001022305013
7213103051632
oct40410436341
912234212440
104364319969
11193a5aa209
12a19728169
1354724c869
142d58ab889
151a823bc99
hex104223ce1

4364319969 has 45 divisors (see below), whose sum is σ = 6765112419. Its totient is φ = 2711225520.

The previous prime is 4364319929. The next prime is 4364320021. The reversal of 4364319969 is 9699134634.

The square root of 4364319969 is 66063.

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

It can be written as a sum of positive squares in only one way, i.e., 141919569 + 4222400400 = 11913^2 + 64980^2 .

It is not a de Polignac number, because 4364319969 - 29 = 4364319457 is a prime.

It is a super-3 number, since 3×43643199693 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4364319929) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71546199 + ... + 71546259.

Almost surely, 24364319969 is an apocalyptic number.

4364319969 is the 66063-rd square number.

4364319969 is the 33032-nd centered octagonal number.

It is an amenable number.

4364319969 is a deficient number, since it is larger than the sum of its proper divisors (2400792450).

4364319969 is an frugal number, since it uses more digits than its factorization.

4364319969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 83 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The cubic root of 4364319969 is about 1634.2012101238.

The spelling of 4364319969 in words is "four billion, three hundred sixty-four million, three hundred nineteen thousand, nine hundred sixty-nine".

Divisors: 1 3 9 19 57 61 171 183 361 549 1083 1159 3249 3477 3721 6859 10431 11163 20577 22021 33489 61731 66063 70699 130321 198189 212097 390963 418399 636291 1172889 1255197 1343281 3765591 4029843 7949581 12089529 23848743 25522339 71546229 76567017 229701051 484924441 1454773323 4364319969