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5334402450 = 23521324111351
BaseRepresentation
bin1001111011111010…
…01000010110010010
3111202202121201111010
410331331020112102
541411101334300
62241154431350
7246122446506
oct47575102622
914682551433
105334402450
112298149573
12104a592556
13670213470
1438866c306
152134ada50
hex13df48592

5334402450 has 96 divisors (see below), whose sum is σ = 14307334272. Its totient is φ = 1307520000.

The previous prime is 5334402439. The next prime is 5334402467. The reversal of 5334402450 is 542044335.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 464275 + ... + 475625.

It is an arithmetic number, because the mean of its divisors is an integer number (149034732).

Almost surely, 25334402450 is an apocalyptic number.

5334402450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5334402450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153667136).

5334402450 is an abundant number, since it is smaller than the sum of its proper divisors (8972931822).

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

5334402450 is a wasteful number, since it uses less digits than its factorization.

5334402450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 11615 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 5334402450 is about 73036.9937086679. The cubic root of 5334402450 is about 1747.2776666019.

Adding to 5334402450 its reverse (542044335), we get a palindrome (5876446785).

The spelling of 5334402450 in words is "five billion, three hundred thirty-four million, four hundred two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 241 325 390 482 650 723 975 1205 1446 1950 2410 3133 3615 6025 6266 7230 9399 11351 12050 15665 18075 18798 22702 31330 34053 36150 46995 56755 68106 78325 93990 113510 147563 156650 170265 234975 283775 295126 340530 442689 469950 567550 737815 851325 885378 1475630 1702650 2213445 2735591 3689075 4426890 5471182 7378150 8206773 11067225 13677955 16413546 22134450 27355910 35562683 41033865 68389775 71125366 82067730 106688049 136779550 177813415 205169325 213376098 355626830 410338650 533440245 889067075 1066880490 1778134150 2667201225 5334402450