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2020221609952 = 257213361327431
BaseRepresentation
bin11101011001011110100…
…101110110011111100000
321011010112201101001220211
4131121132211312133200
5231044403213004302
64144024344143504
7265645655232100
oct35313645663740
97133481331824
102020221609952
11709853482727
12287648167b94
13118676b21450
146daca381200
153783d420ad7
hex1d65e9767e0

2020221609952 has 144 divisors (see below), whose sum is σ = 4984126553952. Its totient is φ = 798958218240.

The previous prime is 2020221609937. The next prime is 2020221609953. The reversal of 2020221609952 is 2599061220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020221609953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73633677 + ... + 73661107.

It is an arithmetic number, because the mean of its divisors is an integer number (34611989958).

Almost surely, 22020221609952 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 2020221609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492063276976).

2020221609952 is an abundant number, since it is smaller than the sum of its proper divisors (2963904944000).

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

2020221609952 is a wasteful number, since it uses less digits than its factorization.

2020221609952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31081 (or 31066 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 2020221609952 in words is "two trillion, twenty billion, two hundred twenty-one million, six hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 3613 5096 7226 10192 14452 20384 25291 27431 28904 46969 50582 54862 57808 93938 101164 109724 115616 177037 187876 192017 202328 219448 328783 354074 356603 375752 384034 404656 438896 657566 708148 713206 751504 768068 809312 877792 1315132 1344119 1416296 1426412 1503008 1536136 2301481 2496221 2630264 2688238 2832592 2852824 3072272 4602962 4992442 5260528 5376476 5665184 5705648 6144544 9205924 9984884 10521056 10752952 11411296 17473547 18411848 19969768 21505904 34947094 36823696 39939536 43011808 69894188 73647392 79879072 99108203 139788376 198216406 279576752 396432812 559153504 693757421 792865624 1288406639 1387514842 1585731248 2576813278 2775029684 3171462496 4856301947 5153626556 5550059368 9018846473 9712603894 10307253112 11100118736 18037692946 19425207788 20614506224 22200237472 36075385892 38850415576 41229012448 63131925311 72150771784 77700831152 126263850622 144301543568 155401662304 252527701244 288603087136 505055402488 1010110804976 2020221609952