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20440356516 = 22323767233983
BaseRepresentation
bin10011000010010101…
…110001011010100100
31221202112010200211100
4103002111301122210
5313330212402031
613220135440100
71322350110066
oct230225613244
957675120740
1020440356516
11873a059428
123b65526030
131c099a9118
14dbc993736
157e9751de6
hex4c25716a4

20440356516 has 144 divisors (see below), whose sum is σ = 54143316864. Its totient is φ = 6495717888.

The previous prime is 20440356511. The next prime is 20440356523. The reversal of 20440356516 is 61565304402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20440356511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20793361 + ... + 20794343.

It is an arithmetic number, because the mean of its divisors is an integer number (375995256).

Almost surely, 220440356516 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 20440356516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27071658432).

20440356516 is an abundant number, since it is smaller than the sum of its proper divisors (33702960348).

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

20440356516 is a wasteful number, since it uses less digits than its factorization.

20440356516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20440356516 in words is "twenty billion, four hundred forty million, three hundred fifty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 233 268 333 402 444 466 603 666 699 804 932 983 1206 1332 1398 1966 2097 2412 2479 2796 2949 3932 4194 4958 5898 7437 8388 8621 8847 9916 11796 14874 15611 17242 17694 22311 25863 29748 31222 34484 35388 36371 44622 46833 51726 62444 65861 72742 77589 89244 93666 103452 109113 131722 140499 145484 155178 187332 197583 218226 229039 263444 280998 310356 327339 395166 436452 458078 561996 577607 592749 654678 687117 790332 916156 1155214 1185498 1309356 1374234 1732821 2061351 2310428 2370996 2436857 2748468 3465642 4122702 4873714 5198463 6931284 7310571 8245404 8474443 9747428 10396926 14621142 15345613 16948886 20793852 21931713 25423329 29242284 30691226 33897772 43863426 46036839 50846658 61382452 76269987 87726852 92073678 101693316 138110517 152539974 184147356 276221034 305079948 552442068 567787681 1135575362 1703363043 2271150724 3406726086 5110089129 6813452172 10220178258 20440356516