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5211504414 = 233198575927
BaseRepresentation
bin1001101101010000…
…10011111100011110
3111110012100212002000
410312220103330132
541133121120124
62221044343130
7243101025264
oct46650237436
914405325060
105211504414
112234838446
1210153a4aa6
1365091342c
143761da434
152077d46c9
hex136a13f1e

5211504414 has 64 divisors (see below), whose sum is σ = 12206937600. Its totient is φ = 1643540544.

The previous prime is 5211504407. The next prime is 5211504461. The reversal of 5211504414 is 4144051125.

5211504414 is a `hidden beast` number, since 5 + 211 + 5 + 0 + 441 + 4 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876319 + ... + 882245.

It is an arithmetic number, because the mean of its divisors is an integer number (190733400).

Almost surely, 25211504414 is an apocalyptic number.

5211504414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5211504414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103468800).

5211504414 is an abundant number, since it is smaller than the sum of its proper divisors (6995433186).

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

5211504414 is a wasteful number, since it uses less digits than its factorization.

5211504414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5211504414 is about 72190.7501969608. The cubic root of 5211504414 is about 1733.7549072298.

Adding to 5211504414 its reverse (4144051125), we get a palindrome (9355555539).

The spelling of 5211504414 in words is "five billion, two hundred eleven million, five hundred four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 857 1026 1714 2571 5142 5927 7713 11854 15426 16283 17781 23139 32566 35562 46278 48849 53343 97698 106686 112613 146547 160029 225226 293094 320058 337839 439641 675678 879282 1013517 2027034 3040551 5079439 6081102 10158878 15238317 30476634 45714951 91429902 96509341 137144853 193018682 274289706 289528023 579056046 868584069 1737168138 2605752207 5211504414