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4534768112 = 247279211347
BaseRepresentation
bin1000011100100101…
…10001000111110000
3102201000222002101112
410032102301013300
533241400034422
62025551452452
7220242615200
oct41622610760
912630862345
104534768112
111a17838446
12a66827128
1357365ab54
1431039a400
151b81a9ee2
hex10e4b11f0

4534768112 has 120 divisors (see below), whose sum is σ = 10428975360. Its totient is φ = 1904273280.

The previous prime is 4534768087. The next prime is 4534768129. The reversal of 4534768112 is 2118674354.

It is a super-2 number, since 2×45347681122 = 41128243659224089088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4534768112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13068323 + ... + 13068669.

It is an arithmetic number, because the mean of its divisors is an integer number (86908128).

Almost surely, 24534768112 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 4534768112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214487680).

4534768112 is an abundant number, since it is smaller than the sum of its proper divisors (5894207248).

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

4534768112 is a wasteful number, since it uses less digits than its factorization.

4534768112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 4534768112 is about 67340.6868987836. The cubic root of 4534768112 is about 1655.2046383990.

The spelling of 4534768112 in words is "four billion, five hundred thirty-four million, seven hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 211 316 347 392 422 553 632 694 784 844 1106 1264 1388 1477 1688 2212 2429 2776 2954 3376 3871 4424 4858 5552 5908 7742 8848 9716 10339 11816 15484 16669 17003 19432 20678 23632 27413 30968 33338 34006 38864 41356 54826 61936 66676 68012 73217 82712 109652 116683 133352 136024 146434 165424 191891 219304 233366 266704 272048 292868 383782 438608 466732 512519 585736 767564 816781 933464 1025038 1171472 1343237 1535128 1633562 1866928 2050076 2686474 3070256 3267124 3587633 4100152 5372948 5784143 6534248 7175266 8200304 10745896 11568286 13068496 14350532 21491792 23136572 28701064 40489001 46273144 57402128 80978002 92546288 161956004 283423007 323912008 566846014 647824016 1133692028 2267384056 4534768112