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5350013680 = 2451140115161
BaseRepresentation
bin1001111101110001…
…01011101011110000
3111210211222212001211
410332320223223300
541424100414210
62242513205504
7246402236344
oct47670535360
914724885054
105350013680
1122a5a41510
121053860894
1367351b08b
1438a773624
15214a4438a
hex13ee2baf0

5350013680 has 80 divisors (see below), whose sum is σ = 13604316768. Its totient is φ = 1940480000.

The previous prime is 5350013671. The next prime is 5350013701. The reversal of 5350013680 is 863100535.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345300 + ... + 360460.

Almost surely, 25350013680 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 5350013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802158384).

5350013680 is an abundant number, since it is smaller than the sum of its proper divisors (8254303088).

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

5350013680 is a wasteful number, since it uses less digits than its factorization.

5350013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 5350013680 is about 73143.7877061340. The cubic root of 5350013680 is about 1748.9804869849.

The spelling of 5350013680 in words is "five billion, three hundred fifty million, thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 401 440 802 880 1604 2005 3208 4010 4411 6416 8020 8822 15161 16040 17644 22055 30322 32080 35288 44110 60644 70576 75805 88220 121288 151610 166771 176440 242576 303220 333542 352880 606440 667084 833855 1212880 1334168 1667710 2668336 3335420 6079561 6670840 12159122 13341680 24318244 30397805 48636488 60795610 66875171 97272976 121591220 133750342 243182440 267500684 334375855 486364880 535001368 668751710 1070002736 1337503420 2675006840 5350013680