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2021983280960 = 26571198744789
BaseRepresentation
bin11101011011000111100…
…110000101111101000000
321011022002111021020020012
4131123013212011331000
5231112010204442320
64144515235004052
7266040426211136
oct35330746057500
97138074236205
102021983280960
1170a577938185
12287a5a139628
13118897ab1426
146dc1631b756
15378e2e074c5
hex1d6c7985f40

2021983280960 has 112 divisors (see below), whose sum is σ = 4885228817280. Its totient is φ = 796982753280.

The previous prime is 2021983280927. The next prime is 2021983281001. The reversal of 2021983280960 is 690823891202.

It is a junction number, because it is equal to n+sod(n) for n = 2021983280899 and 2021983280908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45122246 + ... + 45167034.

It is an arithmetic number, because the mean of its divisors is an integer number (43618114440).

Almost surely, 22021983280960 is an apocalyptic number.

2021983280960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021983280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442614408640).

2021983280960 is an abundant number, since it is smaller than the sum of its proper divisors (2863245536320).

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

2021983280960 is a wasteful number, since it uses less digits than its factorization.

2021983280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46864 (or 46854 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 2021983280960 in words is "two trillion, twenty-one billion, nine hundred eighty-three million, two hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 1987 2272 2840 3974 4544 5680 7948 9935 11360 15896 19870 22720 31792 39740 44789 63584 79480 89578 127168 141077 158960 179156 223945 282154 317920 358312 447890 564308 635840 705385 716624 895780 1128616 1410770 1433248 1791560 2257232 2821540 2866496 3180019 3583120 4514464 5643080 6360038 7166240 9028928 11286160 12720076 14332480 15900095 22572320 25440152 31800190 45144640 50880304 63600380 88995743 101760608 127200760 177991486 203521216 254401520 355982972 444978715 508803040 711965944 889957430 1017606080 1423931888 1779914860 2847863776 3559829720 5695727552 6318697753 7119659440 12637395506 14239318880 25274791012 28478637760 31593488765 50549582024 63186977530 101099164048 126373955060 202198328096 252747910120 404396656192 505495820240 1010991640480 2021983280960