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5428413320 = 2351122774049
BaseRepresentation
bin1010000111000111…
…10000001110001000
3112000022111222011012
411003203300032020
542104133211240
62254353423052
7251343515621
oct50343601610
915008458135
105428413320
11233621a300
121075b6aa88
1368683abb5
14396d40a48
1521b87db65
hex1438f0388

5428413320 has 96 divisors (see below), whose sum is σ = 13477023000. Its totient is φ = 1966356480.

The previous prime is 5428413311. The next prime is 5428413337. The reversal of 5428413320 is 233148245.

It can be written as a sum of positive squares in 4 ways, for example, as 2762343364 + 2666069956 = 52558^2 + 51634^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338656 + ... + 1342704.

Almost surely, 25428413320 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 5428413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738511500).

5428413320 is an abundant number, since it is smaller than the sum of its proper divisors (8048609680).

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

5428413320 is a wasteful number, since it uses less digits than its factorization.

5428413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 5428413320 is about 73677.7667956895. The cubic root of 5428413320 is about 1757.4823377268.

The spelling of 5428413320 in words is "five billion, four hundred twenty-eight million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 277 440 484 554 605 968 1108 1210 1385 2216 2420 2770 3047 4049 4840 5540 6094 8098 11080 12188 15235 16196 20245 24376 30470 32392 33517 40490 44539 60940 67034 80980 89078 121880 134068 161960 167585 178156 222695 268136 335170 356312 445390 489929 670340 890780 979858 1121573 1340680 1781560 1959716 2243146 2449645 3919432 4486292 4899290 5607865 8972584 9798580 11215730 12337303 19597160 22431460 24674606 44862920 49349212 61686515 98698424 123373030 135710333 246746060 271420666 493492120 542841332 678551665 1085682664 1357103330 2714206660 5428413320