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10511423406 = 2331138945491
BaseRepresentation
bin10011100101000011…
…11001011110101110
31000010120002122011000
421302201321132232
5133011411022111
64455012141130
7521324424201
oct116241713656
930116078130
1010511423406
114504473a90
1220543077a6
13cb6941c83
1471a04d938
15417c30c56
hex2728797ae

10511423406 has 64 divisors (see below), whose sum is σ = 25548307200. Its totient is φ = 3177021600.

The previous prime is 10511423381. The next prime is 10511423411. The reversal of 10511423406 is 60432411501.

It is a happy number.

It is a super-2 number, since 2×105114234062 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10511423406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208321 + ... + 253811.

It is an arithmetic number, because the mean of its divisors is an integer number (399192300).

Almost surely, 210511423406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10511423406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774153600).

10511423406 is an abundant number, since it is smaller than the sum of its proper divisors (15036883794).

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

10511423406 is a wasteful number, since it uses less digits than its factorization.

10511423406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45902 (or 45896 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10511423406 its reverse (60432411501), we get a palindrome (70943834907).

The spelling of 10511423406 in words is "ten billion, five hundred eleven million, four hundred twenty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 389 594 778 1167 2334 3501 4279 7002 8558 10503 12837 21006 25674 38511 45491 77022 90982 115533 136473 231066 272946 409419 500401 818838 1000802 1228257 1501203 2456514 3002406 4503609 9007218 13510827 17695999 27021654 35391998 53087997 106175994 159263991 194655989 318527982 389311978 477791973 583967967 955583946 1167935934 1751903901 3503807802 5255711703 10511423406