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4116403732 = 22717191912383
BaseRepresentation
bin1111010101011011…
…0101011000010100
3101121212201222100111
43311112311120110
531412244404412
61520244452404
7204002566030
oct36526653024
911555658314
104116403732
11182266a061
1296a6aa104
13507a8976c
142b09b51c0
151915ba2a7
hexf55b5614

4116403732 has 96 divisors (see below), whose sum is σ = 9227796480. Its totient is φ = 1564116480.

The previous prime is 4116403729. The next prime is 4116403763. The reversal of 4116403732 is 2373046114.

It is a junction number, because it is equal to n+sod(n) for n = 4116403694 and 4116403703.

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, 1726213 + ... + 1728595.

It is an arithmetic number, because the mean of its divisors is an integer number (96122880).

Almost surely, 24116403732 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 4116403732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613898240).

4116403732 is an abundant number, since it is smaller than the sum of its proper divisors (5111392748).

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

4116403732 is a wasteful number, since it uses less digits than its factorization.

4116403732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 4116403732 is about 64159.2061359864. The cubic root of 4116403732 is about 1602.6523367017.

Adding to 4116403732 its reverse (2373046114), we get a palindrome (6489449846).

The spelling of 4116403732 in words is "four billion, one hundred sixteen million, four hundred three thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 191 238 266 323 382 476 532 646 764 1292 1337 2261 2383 2674 3247 3629 4522 4766 5348 6494 7258 9044 9532 12988 14516 16681 22729 25403 33362 40511 45277 45458 50806 61693 66724 81022 90554 90916 101612 123386 162044 181108 246772 283577 316939 431851 455153 567154 633878 769709 863702 910306 1134308 1267756 1539418 1727404 1820612 3078836 3186071 5387963 6372142 7737601 8647907 10775926 12744284 15475202 17295814 21551852 30950404 34591628 54163207 60535349 108326414 121070698 147014419 216652828 242141396 294028838 588057676 1029100933 2058201866 4116403732