Search a number
-
+
606061346436 = 2232713659280729
BaseRepresentation
bin10001101000111000001…
…00100011111010000100
32010221100110100100122200
420310130010203322010
534412203201041221
61142230513554500
761533523305660
oct10643404437204
92127313310580
10606061346436
11214035914917
1299560875a30
13451c7655030
14214952a18a0
1510b72072426
hex8d1c123e84

606061346436 has 144 divisors (see below), whose sum is σ = 1888392105600. Its totient is φ = 159597236736.

The previous prime is 606061346353. The next prime is 606061346437. The reversal of 606061346436 is 634643160606.

606061346436 is a `hidden beast` number, since 6 + 0 + 606 + 1 + 3 + 4 + 6 + 4 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 606061346391 and 606061346400.

It is not an unprimeable number, because it can be changed into a prime (606061346437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2018520 + ... + 2299248.

Almost surely, 2606061346436 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 606061346436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944196052800).

606061346436 is an abundant number, since it is smaller than the sum of its proper divisors (1282330759164).

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

606061346436 is a wasteful number, since it uses less digits than its factorization.

606061346436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281418 (or 281413 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 606061346436 in words is "six hundred six billion, sixty-one million, three hundred forty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 659 819 1092 1318 1638 1977 2636 3276 3954 4613 5931 7908 8567 9226 11862 13839 17134 18452 23724 25701 27678 34268 41517 51402 55356 59969 77103 83034 102804 119938 154206 166068 179907 239876 280729 308412 359814 539721 561458 719628 842187 1079442 1122916 1684374 1965103 2158884 2526561 3368748 3649477 3930206 5053122 5895309 7298954 7860412 10106244 10948431 11790618 14597908 17685927 21896862 23581236 25546339 32845293 35371854 43793724 51092678 65690586 70743708 76639017 102185356 131381172 153278034 185000411 229917051 306556068 370000822 459834102 555001233 740001644 919668204 1110002466 1295002877 1665003699 2220004932 2405005343 2590005754 3330007398 3885008631 4810010686 5180011508 6660014796 7215016029 7770017262 9620021372 11655025893 14430032058 15540034524 16835037401 21645048087 23310051786 28860064116 33670074802 43290096174 46620103572 50505112203 67340149604 86580192348 101010224406 151515336609 202020448812 303030673218 606061346436