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964382920900 = 225272140292
BaseRepresentation
bin11100000100010011011…
…00111001000011000100
310102012020111121100011021
432002021230321003010
5111300024011432100
62015010440520524
7126450210401200
oct16021154710304
93365214540137
10964382920900
11341aa1021233
12136aa1a80144
136cc302794c9
1434967dc9b00
151a144942a1a
hexe089b390c4

964382920900 has 81 divisors (see below), whose sum is σ = 2434551567399. Its totient is φ = 330622004160.

The previous prime is 964382920889. The next prime is 964382920909. The reversal of 964382920900 is 9029283469.

It is a happy number.

The square root of 964382920900 is 982030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 469194860484 + 495188060416 = 684978^2 + 703696^2 .

It is not an unprimeable number, because it can be changed into a prime (964382920909) 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, 68735086 + ... + 68749114.

Almost surely, 2964382920900 is an apocalyptic number.

964382920900 is the 982030-th square number.

It is an amenable number.

964382920900 is an abundant number, since it is smaller than the sum of its proper divisors (1470168646499).

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

964382920900 is an equidigital number, since it uses as much as digits as its factorization.

964382920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28086 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 964382920900 in words is "nine hundred sixty-four billion, three hundred eighty-two million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 14029 28058 56116 70145 98203 140290 196406 280580 350725 392812 491015 687421 701450 982030 1374842 1402900 1964060 2455075 2749684 3437105 4910150 6874210 9820300 13748420 17185525 34371050 68742100 196812841 393625682 787251364 984064205 1377689887 1968128410 2755379774 3936256820 4920321025 5510759548 6888449435 9643829209 9840642050 13776898870 19287658418 19681284100 27553797740 34442247175 38575316836 48219146045 68884494350 96438292090 137768988700 192876584180 241095730225 482191460450 964382920900