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9424320464 = 2413172665249
BaseRepresentation
bin10001100011011101…
…11011011111010000
3220022210112002021002
420301232323133100
5123300111223324
64155055521132
7452354254646
oct106156733720
926283462232
109424320464
113aa68684a9
1219b02291a8
13b726586b0
1465590b196
153a25963ae
hex231bbb7d0

9424320464 has 40 divisors (see below), whose sum is σ = 20820933000. Its totient is φ = 4093820928.

The previous prime is 9424320461. The next prime is 9424320469. The reversal of 9424320464 is 4640234249.

It can be written as a sum of positive squares in 4 ways, for example, as 26956864 + 9397363600 = 5192^2 + 96940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9424320461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329089 + ... + 1336160.

It is an arithmetic number, because the mean of its divisors is an integer number (520523325).

Almost surely, 29424320464 is an apocalyptic number.

It is an amenable number.

9424320464 is an abundant number, since it is smaller than the sum of its proper divisors (11396612536).

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

9424320464 is a wasteful number, since it uses less digits than its factorization.

9424320464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665287 (or 2665281 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 9424320464 is about 97078.9393431964. The cubic root of 9424320464 is about 2112.2728414824.

The spelling of 9424320464 in words is "nine billion, four hundred twenty-four million, three hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 2665249 5330498 10660996 21321992 34648237 42643984 45309233 69296474 90618466 138592948 181236932 277185896 362473864 554371792 589020029 724947728 1178040058 2356080116 4712160232 9424320464