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5536346046 = 2372112198191
BaseRepresentation
bin1010010011111110…
…11110111110111110
3112021211121112000120
411021333132332332
542314301033141
62313211035410
7254124110400
oct51177367676
915254545016
105536346046
112391139800
1210a613bb66
136a2ccb30a
143a73d8b70
1522609dc66
hex149fdefbe

5536346046 has 144 divisors (see below), whose sum is σ = 14904852480. Its totient is φ = 1362160800.

The previous prime is 5536346009. The next prime is 5536346063. The reversal of 5536346046 is 6406436355.

It is a happy number.

It is a super-2 number, since 2×55363460462 = 61302255082119668232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5536345989 and 5536346007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 671811 + ... + 680001.

It is an arithmetic number, because the mean of its divisors is an integer number (103505920).

Almost surely, 25536346046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5536346046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452426240).

5536346046 is an abundant number, since it is smaller than the sum of its proper divisors (9368506434).

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

5536346046 is a wasteful number, since it uses less digits than its factorization.

5536346046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The square root of 5536346046 is about 74406.6263581410. The cubic root of 5536346046 is about 1769.0539430209.

The spelling of 5536346046 in words is "five billion, five hundred thirty-six million, three hundred forty-six thousand, forty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 121 133 147 154 209 231 242 266 294 363 399 418 462 539 627 726 798 847 931 1078 1254 1463 1617 1694 1862 2299 2541 2793 2926 3234 4389 4598 5082 5586 5929 6897 8191 8778 10241 11858 13794 16093 16382 17787 20482 24573 30723 32186 35574 48279 49146 57337 61446 90101 96558 112651 114674 155629 172011 180202 225302 270303 311258 337953 344022 401359 466887 540606 630707 675906 802718 933774 991111 1089403 1204077 1261414 1711919 1892121 1982222 2178806 2408154 2973333 3268209 3423838 3784242 4414949 5135757 5946666 6536418 6937777 7625821 8829898 10271514 11983433 13244847 13875554 15251642 18831109 20813331 22877463 23966866 26489694 35950299 37662218 41626662 45754926 48564439 56493327 71900598 83884031 97128878 112986654 131817763 145693317 167768062 251652093 263635526 291386634 395453289 503304186 790906578 922724341 1845448682 2768173023 5536346046