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5319764300 = 2252233174611
BaseRepresentation
bin1001111010001010…
…10010100101001100
3111201202002000201102
410331011102211030
541343324424200
62235513002232
7245554151624
oct47505224514
914652060642
105319764300
11228a960724
1210456b3378
1366a189736
1438673b884
1521206b6d5
hex13d15294c

5319764300 has 72 divisors (see below), whose sum is σ = 12434537472. Its totient is φ = 1969704000.

The previous prime is 5319764297. The next prime is 5319764339. The reversal of 5319764300 is 34679135.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33995 + ... + 108605.

Almost surely, 25319764300 is an apocalyptic number.

5319764300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5319764300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217268736).

5319764300 is an abundant number, since it is smaller than the sum of its proper divisors (7114773172).

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

5319764300 is a wasteful number, since it uses less digits than its factorization.

5319764300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74679 (or 74672 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 5319764300 is about 72936.7143488106. The cubic root of 5319764300 is about 1745.6779658060.

The spelling of 5319764300 in words is "five billion, three hundred nineteen million, seven hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 713 775 1150 1426 1550 2300 2852 3100 3565 7130 14260 17825 35650 71300 74611 149222 298444 373055 746110 1492220 1716053 1865275 2312941 3432106 3730550 4625882 6864212 7461100 8580265 9251764 11564705 17160530 23129410 34321060 42901325 46258820 53197643 57823525 85802650 106395286 115647050 171605300 212790572 231294100 265988215 531976430 1063952860 1329941075 2659882150 5319764300