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9328740768 = 253289363949
BaseRepresentation
bin10001011000000100…
…10100100110100000
3220002010200010120100
420230002110212200
5123101124201033
64141403142400
7450113662644
oct105402244640
926063603510
109328740768
113a57916016
121984214a00
13b58901b69
14646d4ac24
15398eb6513
hex22c0949a0

9328740768 has 72 divisors (see below), whose sum is σ = 26826754500. Its totient is φ = 3074632704.

The previous prime is 9328740763. The next prime is 9328740829. The reversal of 9328740768 is 8670478239.

It can be written as a sum of positive squares in 2 ways, for example, as 6873736464 + 2455004304 = 82908^2 + 49548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9328740763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156343 + ... + 207606.

Almost surely, 29328740768 is an apocalyptic number.

It is an amenable number.

9328740768 is an abundant number, since it is smaller than the sum of its proper divisors (17498013732).

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

9328740768 is a wasteful number, since it uses less digits than its factorization.

9328740768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364054 (or 364043 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 9328740768 is about 96585.4065995479. The cubic root of 9328740768 is about 2105.1078057263.

The spelling of 9328740768 in words is "nine billion, three hundred twenty-eight million, seven hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 363949 727898 1091847 1455796 2183694 2911592 3275541 4367388 5823184 6551082 8734776 11646368 13102164 17469552 26204328 32391461 34939104 52408656 64782922 97174383 104817312 129565844 194348766 259131688 291523149 388697532 518263376 583046298 777395064 1036526752 1166092596 1554790128 2332185192 3109580256 4664370384 9328740768