Search a number
-
+
5735245516 = 22711132110183
BaseRepresentation
bin1010101011101100…
…01110011011001100
3112210200212122210121
411111312032123030
543221210324031
62345034114324
7262060532260
oct52566163314
915720778717
105735245516
11248343a930
12114087b9a4
1370528b700
143c59b20a0
1523878c011
hex155d8e6cc

5735245516 has 72 divisors (see below), whose sum is σ = 13549987584. Its totient is φ = 2062607040.

The previous prime is 5735245507. The next prime is 5735245543. The reversal of 5735245516 is 6155425375.

It is a super-2 number, since 2×57352455162 = 65786082257596212512, which contains 22 as substring.

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, 3040 + ... + 107143.

It is an arithmetic number, because the mean of its divisors is an integer number (188194272).

Almost surely, 25735245516 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 5735245516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774993792).

5735245516 is an abundant number, since it is smaller than the sum of its proper divisors (7814742068).

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

5735245516 is a wasteful number, since it uses less digits than its factorization.

5735245516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110231 (or 110216 counting only the distinct ones).

The product of its digits is 630000, while the sum is 43.

The square root of 5735245516 is about 75731.4037635643. The cubic root of 5735245516 is about 1789.9902744912.

The spelling of 5735245516 in words is "five billion, seven hundred thirty-five million, two hundred forty-five thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1001 1183 1859 2002 2366 3718 4004 4732 7436 13013 26026 52052 110183 220366 440732 771281 1212013 1432379 1542562 2424026 2864758 3085124 4848052 5729516 8484091 10026653 15756169 16968182 18620927 20053306 31512338 33936364 37241854 40106612 63024676 74483708 110293183 130346489 204830197 220586366 260692978 409660394 441172732 521385956 819320788 1433811379 2867622758 5735245516