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990839267712 = 2734713652437
BaseRepresentation
bin11100110101100101001…
…11110110000110000000
310111201112021220000020000
432122302213312012000
5112213214323031322
62035104004120000
7131404630545510
oct16326247660600
93451467800200
10990839267712
11352237a32168
12140046096000
137258842c6a8
1435d57951840
151ab923da3ac
hexe6b29f6180

990839267712 has 160 divisors (see below), whose sum is σ = 3369967795920. Its totient is φ = 283096912896.

The previous prime is 990839267707. The next prime is 990839267807. The reversal of 990839267712 is 217762938099.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 990839267712.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 6753643 + ... + 6898794.

Almost surely, 2990839267712 is an apocalyptic number.

It is an amenable number.

990839267712 is an abundant number, since it is smaller than the sum of its proper divisors (2379128528208).

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

990839267712 is a wasteful number, since it uses less digits than its factorization.

990839267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652470 (or 13652449 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 990839267712 in words is "nine hundred ninety billion, eight hundred thirty-nine million, two hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 13652437 27304874 40957311 54609748 81914622 95567059 109219496 122871933 163829244 191134118 218438992 245743866 286701177 327658488 368615799 382268236 436877984 491487732 573402354 655316976 737231598 764536472 860103531 873755968 982975464 1105847397 1146804708 1310633952 1474463196 1529072944 1720207062 1747511936 1965950928 2211694794 2293609416 2580310593 2621267904 2948926392 3058145888 3440414124 3931901856 4423389588 4587218832 5160621186 5242535808 5897852784 6116291776 6880828248 7740931779 7863803712 8846779176 9174437664 10321242372 11795705568 12232583552 13761656496 15481863558 15727607424 17693558352 18348875328 20642484744 23591411136 27523312992 30963727116 35387116704 36697750656 41284969488 47182822272 55046625984 61927454232 70774233408 82569938976 110093251968 123854908464 141548466816 165139877952 247709816928 330279755904 495419633856 990839267712