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20434320416 = 2517187919991
BaseRepresentation
bin10011000001111110…
…101111110000100000
31221202002210000212002
4103001332233300200
5313322141223131
613215402223132
71322244600116
oct230176576040
957662700762
1020434320416
118736706414
123b634b4aa8
131c08674873
14dbbc61ab6
157e8e5d6cb
hex4c1fafc20

20434320416 has 48 divisors (see below), whose sum is σ = 42621344640. Its totient is φ = 9610552320.

The previous prime is 20434320397. The next prime is 20434320421. The reversal of 20434320416 is 61402343402.

It is a super-2 number, since 2×204343204162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012181 + ... + 1032171.

It is an arithmetic number, because the mean of its divisors is an integer number (887944680).

Almost surely, 220434320416 is an apocalyptic number.

It is an amenable number.

20434320416 is an abundant number, since it is smaller than the sum of its proper divisors (22187024224).

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

20434320416 is a wasteful number, since it uses less digits than its factorization.

20434320416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21897 (or 21889 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 20434320416 its reverse (61402343402), we get a palindrome (81836663818).

The spelling of 20434320416 in words is "twenty billion, four hundred thirty-four million, three hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1879 3758 7516 15032 19991 30064 31943 39982 60128 63886 79964 127772 159928 255544 319856 339847 511088 639712 679694 1022176 1359388 2718776 5437552 10875104 37563089 75126178 150252356 300504712 601009424 638572513 1202018848 1277145026 2554290052 5108580104 10217160208 20434320416