Search a number
-
+
5303143216 = 247314335521
BaseRepresentation
bin1001111000001011…
…11000101100110000
3111200120210120212201
410330011320230300
541330101040331
62234120432544
7245262654640
oct47405705460
914616716781
105303143216
112281538a98
121040018754
136668ba287
14384452520
15210886a61
hex13c178b30

5303143216 has 80 divisors (see below), whose sum is σ = 12403714048. Its totient is φ = 2148249600.

The previous prime is 5303143213. The next prime is 5303143243. The reversal of 5303143216 is 6123413035.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5303143213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131536 + ... + 167056.

Almost surely, 25303143216 is an apocalyptic number.

5303143216 is a gapful number since it is divisible by the number (56) 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 5303143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201857024).

5303143216 is an abundant number, since it is smaller than the sum of its proper divisors (7100570832).

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

5303143216 is a wasteful number, since it uses less digits than its factorization.

5303143216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35610 (or 35604 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 5303143216 is about 72822.6833891748. The cubic root of 5303143216 is about 1743.8580022844.

The spelling of 5303143216 in words is "five billion, three hundred three million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 43 56 62 86 112 124 172 217 248 301 344 434 496 602 688 868 1204 1333 1736 2408 2666 3472 4816 5332 9331 10664 18662 21328 35521 37324 71042 74648 142084 149296 248647 284168 497294 568336 994588 1101151 1527403 1989176 2202302 3054806 3978352 4404604 6109612 7708057 8809208 10691821 12219224 15416114 17618416 21383642 24438448 30832228 42767284 47349493 61664456 85534568 94698986 123328912 171069136 189397972 331446451 378795944 662892902 757591888 1325785804 2651571608 5303143216