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5459604944 = 2417231137723
BaseRepresentation
bin1010001010110101…
…01111010111010000
3112002111012200000112
411011122233113100
542140124324234
62301430140452
7252202606403
oct50532572720
915074180015
105459604944
112351894002
1210844b1728
1369013c391
1439b13dd3a
1521e490ace
hex1456af5d0

5459604944 has 80 divisors (see below), whose sum is σ = 11792138112. Its totient is φ = 2435457024.

The previous prime is 5459604937. The next prime is 5459604949. The reversal of 5459604944 is 4494069545.

It is a super-2 number, since 2×54596049442 = 59614572289098486272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5459604892 and 5459604901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5459604949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703067 + ... + 710789.

Almost surely, 25459604944 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 5459604944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896069056).

5459604944 is an abundant number, since it is smaller than the sum of its proper divisors (6332533168).

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

5459604944 is a wasteful number, since it uses less digits than its factorization.

5459604944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The square root of 5459604944 is about 73889.1395537937. The cubic root of 5459604944 is about 1760.8420712207.

The spelling of 5459604944 in words is "five billion, four hundred fifty-nine million, six hundred four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 113 136 184 226 272 368 391 452 782 904 1564 1808 1921 2599 3128 3842 5198 6256 7684 7723 10396 15368 15446 20792 30736 30892 41584 44183 61784 88366 123568 131291 176732 177629 262582 353464 355258 525164 706928 710516 872699 1050328 1421032 1745398 2100656 2842064 3019693 3490796 6039386 6981592 12078772 13963184 14835883 20072077 24157544 29671766 40144154 48315088 59343532 80288308 118687064 160576616 237374128 321153232 341225309 682450618 1364901236 2729802472 5459604944