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9368342242728 = 2337296997274817
BaseRepresentation
bin1000100001010011110010…
…1101100010010110101000
31020011121022212201111111120
42020110330231202112220
52211442331103231403
631531431303055240
71654561153113660
oct210247455422650
936147285644446
109368342242728
112a92100a66967
121073792a41520
1352c57a859c81
142456045d31a0
15113a5ab8de53
hex8853cb625a8

9368342242728 has 128 divisors (see below), whose sum is σ = 27693739641600. Its totient is φ = 2583991517184.

The previous prime is 9368342242697. The next prime is 9368342242771. The reversal of 9368342242728 is 8272422438639.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33951976 + ... + 34226792.

It is an arithmetic number, because the mean of its divisors is an integer number (216357340950).

Almost surely, 29368342242728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9368342242728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846869820800).

9368342242728 is an abundant number, since it is smaller than the sum of its proper divisors (18325397398872).

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

9368342242728 is a wasteful number, since it uses less digits than its factorization.

9368342242728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281859 (or 281855 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 60.

The spelling of 9368342242728 in words is "nine trillion, three hundred sixty-eight billion, three hundred forty-two million, two hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 6997 13994 20991 27988 41982 48979 55976 83964 97958 146937 167928 195916 202913 274817 293874 391832 405826 549634 587748 608739 811652 824451 1099268 1175496 1217478 1420391 1623304 1648902 1923719 2198536 2434956 2840782 3297804 3847438 4261173 4869912 5681564 5771157 6595608 7694876 7969693 8522346 11363128 11542314 15389752 15939386 17044692 23084628 23909079 31878772 34089384 46169256 47818158 55787851 63757544 95636316 111575702 167363553 191272632 223151404 334727106 446302808 669454212 1338908424 1922894549 3845789098 5768683647 7691578196 11537367294 13460261843 15383156392 23074734588 26920523686 40380785529 46149469176 53841047372 55763941921 80761571058 107682094744 111527883842 161523142116 167291825763 223055767684 323046284232 334583651526 390347593447 446111535368 669167303052 780695186894 1171042780341 1338334606104 1561390373788 2342085560682 3122780747576 4684171121364 9368342242728