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5749536160 = 25583563769
BaseRepresentation
bin1010101101011001…
…01111010110100000
3112211200202200212201
411112230233112200
543233340124120
62350304302544
7262323152044
oct52654572640
915750680781
105749536160
112490510685
121145611a54
13708223204
143c7852024
15239b6140a
hex156b2f5a0

5749536160 has 96 divisors (see below), whose sum is σ = 13789258560. Its totient is φ = 2265120768.

The previous prime is 5749536127. The next prime is 5749536161. The reversal of 5749536160 is 616359475.

It is a self number, because there is not a number n which added to its sum of digits gives 5749536160.

It is not an unprimeable number, because it can be changed into a prime (5749536161) 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, 7476256 + ... + 7477024.

It is an arithmetic number, because the mean of its divisors is an integer number (143638110).

Almost surely, 25749536160 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 5749536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894629280).

5749536160 is an abundant number, since it is smaller than the sum of its proper divisors (8039722400).

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

5749536160 is a wasteful number, since it uses less digits than its factorization.

5749536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The square root of 5749536160 is about 75825.6959084452. The cubic root of 5749536160 is about 1791.4757614322.

The spelling of 5749536160 in words is "five billion, seven hundred forty-nine million, five hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 563 664 769 830 1126 1328 1538 1660 2252 2656 2815 3076 3320 3845 4504 5630 6152 6640 7690 9008 11260 12304 13280 15380 18016 22520 24608 30760 45040 46729 61520 63827 90080 93458 123040 127654 186916 233645 255308 319135 373832 432947 467290 510616 638270 747664 865894 934580 1021232 1276540 1495328 1731788 1869160 2042464 2164735 2553080 3463576 3738320 4329470 5106160 6927152 7476640 8658940 10212320 13854304 17317880 34635760 35934601 69271520 71869202 143738404 179673005 287476808 359346010 574953616 718692020 1149907232 1437384040 2874768080 5749536160