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5006412760 = 2352349111083
BaseRepresentation
bin1001010100110011…
…11100101111011000
3110220220110010012211
410222121330233120
540223120202020
62144440444504
7235030543366
oct45231745730
913826403184
105006412760
112139a98008
12b78779734
1361a29571b
14356c90636
151e47c185a
hex12a67cbd8

5006412760 has 64 divisors (see below), whose sum is σ = 11779188480. Its totient is φ = 1911423360.

The previous prime is 5006412757. The next prime is 5006412833. The reversal of 5006412760 is 672146005.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446179 + ... + 457261.

It is an arithmetic number, because the mean of its divisors is an integer number (184049820).

Almost surely, 25006412760 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 5006412760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889594240).

5006412760 is an abundant number, since it is smaller than the sum of its proper divisors (6772775720).

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

5006412760 is a wasteful number, since it uses less digits than its factorization.

5006412760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11608 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5006412760 is about 70756.0086494426. The cubic root of 5006412760 is about 1710.7066787218.

Adding to 5006412760 its reverse (672146005), we get a palindrome (5678558765).

The spelling of 5006412760 in words is "five billion, six million, four hundred twelve thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 491 920 982 1964 2455 3928 4910 9820 11083 11293 19640 22166 22586 44332 45172 55415 56465 88664 90344 110830 112930 221660 225860 254909 443320 451720 509818 1019636 1274545 2039272 2549090 5098180 5441753 10196360 10883506 21767012 27208765 43534024 54417530 108835060 125160319 217670120 250320638 500641276 625801595 1001282552 1251603190 2503206380 5006412760