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9821938742 = 2711592394523
BaseRepresentation
bin10010010010110111…
…01110010000110110
3221100111201011222222
421021123232100312
5130103404014432
64302342122342
7465253046630
oct111133562066
927314634888
109821938742
114190256a50
121aa14203b2
13c06b44b95
14692651a50
153c7439112
hex2496ee436

9821938742 has 64 divisors (see below), whose sum is σ = 18761932800. Its totient is φ = 3745301280.

The previous prime is 9821938741. The next prime is 9821938769. The reversal of 9821938742 is 2478391289.

9821938742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9821938741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169293 + ... + 2173815.

It is an arithmetic number, because the mean of its divisors is an integer number (293155200).

Almost surely, 29821938742 is an apocalyptic number.

9821938742 is a deficient number, since it is larger than the sum of its proper divisors (8939994058).

9821938742 is a wasteful number, since it uses less digits than its factorization.

9821938742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841.

The product of its digits is 1741824, while the sum is 53.

The square root of 9821938742 is about 99105.6948010557. The cubic root of 9821938742 is about 2141.5706539350.

The spelling of 9821938742 in words is "nine billion, eight hundred twenty-one million, nine hundred thirty-eight thousand, seven hundred forty-two".

Divisors: 1 2 7 11 14 22 59 77 118 154 239 413 478 649 826 1298 1673 2629 3346 4523 4543 5258 9046 9086 14101 18403 28202 31661 36806 49753 63322 98707 99506 155111 197414 266857 310222 348271 533714 696542 1080997 1085777 1867999 2161994 2171554 2935427 3735998 5870854 7566979 11890967 15133958 20547989 23781934 41095978 63778823 83236769 127557646 166473538 446451761 701567053 892903522 1403134106 4910969371 9821938742