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5441115036 = 2237289173601
BaseRepresentation
bin1010001000101000…
…01101001110011100
3112001012102021122010
411010110031032130
542120411140121
62255525551220
7251556500100
oct50424151634
915035367563
105441115036
112342405295
12107a275510
136893673c6
143988c9900
1521ca3c376
hex14450d39c

5441115036 has 144 divisors (see below), whose sum is σ = 15046002720. Its totient is φ = 1525708800.

The previous prime is 5441115023. The next prime is 5441115041. The reversal of 5441115036 is 6305111445.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5441114994 and 5441115012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9053136 + ... + 9053736.

It is an arithmetic number, because the mean of its divisors is an integer number (104486130).

Almost surely, 25441115036 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 5441115036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523001360).

5441115036 is an abundant number, since it is smaller than the sum of its proper divisors (9604887684).

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

5441115036 is a wasteful number, since it uses less digits than its factorization.

5441115036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 5441115036 is about 73763.9141857318. The cubic root of 5441115036 is about 1758.8520229918.

The spelling of 5441115036 in words is "five billion, four hundred forty-one million, one hundred fifteen thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 147 173 178 196 267 294 346 356 519 534 588 601 623 692 1038 1068 1202 1211 1246 1803 1869 2076 2404 2422 2492 3606 3633 3738 4207 4361 4844 7212 7266 7476 8414 8477 8722 12621 13083 14532 15397 16828 16954 17444 25242 25431 26166 29449 30794 33908 46191 50484 50862 52332 53489 58898 61588 88347 92382 101724 103973 106978 107779 117796 160467 176694 184764 207946 213956 215558 311919 320934 323337 353388 374423 415892 431116 623838 641868 646674 727811 748846 754453 1123269 1247676 1293348 1455622 1497692 1508906 2183433 2246538 2263359 2620961 2911244 3017812 4366866 4493076 4526718 5094677 5241922 7862883 8733732 9053436 9253597 10189354 10483844 15284031 15725766 18507194 20378708 27760791 30568062 31451532 37014388 55521582 61136124 64775179 111043164 129550358 194325537 259100716 388651074 453426253 777302148 906852506 1360278759 1813705012 2720557518 5441115036