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5338936224 = 2532171090469
BaseRepresentation
bin1001111100011100…
…11011001110100000
3111210002011001122200
410332032123032200
541413231424344
62241435533200
7246206131506
oct47616331640
914702131580
105338936224
11229a765896
12104bbba200
1367113cc7b
143890cc676
15213aa7069
hex13e39b3a0

5338936224 has 72 divisors (see below), whose sum is σ = 16075708740. Its totient is φ = 1674958848.

The previous prime is 5338936177. The next prime is 5338936231. The reversal of 5338936224 is 4226398335.

5338936224 is a `hidden beast` number, since 5 + 338 + 93 + 6 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5338932624 + 3600 = 73068^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5338936224.

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 11 ways as a sum of consecutive naturals, for example, 540339 + ... + 550130.

Almost surely, 25338936224 is an apocalyptic number.

It is an amenable number.

5338936224 is an abundant number, since it is smaller than the sum of its proper divisors (10736772516).

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

5338936224 is a wasteful number, since it uses less digits than its factorization.

5338936224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090502 (or 1090491 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 5338936224 is about 73068.0246345828. The cubic root of 5338936224 is about 1747.7725373284.

The spelling of 5338936224 in words is "five billion, three hundred thirty-eight million, nine hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 1090469 2180938 3271407 4361876 6542814 8723752 9814221 13085628 17447504 18537973 19628442 26171256 34895008 37075946 39256884 52342512 55613919 74151892 78513768 104685024 111227838 148303784 157027536 166841757 222455676 296607568 314055072 333683514 444911352 593215136 667367028 889822704 1334734056 1779645408 2669468112 5338936224