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20318604438 = 23114117214363
BaseRepresentation
bin10010111011000101…
…010100110010010110
31221110001001001101010
4102323011110302112
5313103030320223
613200110113050
71316341200546
oct227305246226
957401031333
1020318604438
118687360280
123b307ab786
131bba6ba882
14daa73d326
157ddc02393
hex4bb154c96

20318604438 has 64 divisors (see below), whose sum is σ = 45449558784. Its totient is φ = 6002112000.

The previous prime is 20318604421. The next prime is 20318604461. The reversal of 20318604438 is 83440681302.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 20318604396 and 20318604405.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4654845 + ... + 4659207.

It is an arithmetic number, because the mean of its divisors is an integer number (710149356).

Almost surely, 220318604438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20318604438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22724779392).

20318604438 is an abundant number, since it is smaller than the sum of its proper divisors (25130954346).

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

20318604438 is a wasteful number, since it uses less digits than its factorization.

20318604438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141.

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 20318604438 in words is "twenty billion, three hundred eighteen million, six hundred four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 1721 2706 3442 4363 5163 8726 10326 13089 18931 26178 37862 47993 56793 70561 95986 113586 141122 143979 178883 211683 287958 357766 423366 536649 776171 1073298 1552342 1967713 2328513 3935426 4657026 5903139 7508723 11806278 15017446 22526169 45052338 82595953 165191906 247787859 307857643 495575718 615715286 923572929 1847145858 3386434073 6772868146 10159302219 20318604438