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5353221760 = 27564113049
BaseRepresentation
bin1001111110001001…
…11010111010000000
3111211002000211201121
410333010322322000
541430411044020
62243110042024
7246441430345
oct47704727200
914732024647
105353221760
1122a7832817
121054949314
136740a2353
1438ad6a7cc
15214e79baa
hex13f13ae80

5353221760 has 64 divisors (see below), whose sum is σ = 12818493000. Its totient is φ = 2137784320.

The previous prime is 5353221743. The next prime is 5353221761. The reversal of 5353221760 is 671223535.

It can be written as a sum of positive squares in 4 ways, for example, as 5152942656 + 200279104 = 71784^2 + 14152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5353221761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403716 + ... + 416764.

Almost surely, 25353221760 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 5353221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409246500).

5353221760 is an abundant number, since it is smaller than the sum of its proper divisors (7465271240).

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

5353221760 is a wasteful number, since it uses less digits than its factorization.

5353221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13709 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 5353221760 is about 73165.7143749721. The cubic root of 5353221760 is about 1749.3300031127.

The spelling of 5353221760 in words is "five billion, three hundred fifty-three million, two hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 641 1282 2564 3205 5128 6410 10256 12820 13049 20512 25640 26098 41024 51280 52196 65245 82048 102560 104392 130490 205120 208784 260980 410240 417568 521960 835136 1043920 1670272 2087840 4175680 8351360 8364409 16728818 33457636 41822045 66915272 83644090 133830544 167288180 267661088 334576360 535322176 669152720 1070644352 1338305440 2676610880 5353221760