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5117061136 = 2411292181191
BaseRepresentation
bin1001100010000000…
…00010100000010000
3111012121122122020211
410301000002200100
540434431424021
62203432213504
7240543205405
oct46100024020
914177578224
105117061136
1121964a1850
12ba983a294
13637196c35
143678542ac
151ee37b3e1
hex131002810

5117061136 has 120 divisors (see below), whose sum is σ = 11322275328. Its totient is φ = 2221632000.

The previous prime is 5117061031. The next prime is 5117061139. The reversal of 5117061136 is 6311607115.

It is a super-2 number, since 2×51170611362 = 52368629339123220992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5117061098 and 5117061107.

It is not an unprimeable number, because it can be changed into a prime (5117061139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26790801 + ... + 26790991.

Almost surely, 25117061136 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 5117061136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661137664).

5117061136 is an abundant number, since it is smaller than the sum of its proper divisors (6205214192).

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

5117061136 is a wasteful number, since it uses less digits than its factorization.

5117061136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 5117061136 is about 71533.6363957544. The cubic root of 5117061136 is about 1723.2179185685.

The spelling of 5117061136 in words is "five billion, one hundred seventeen million, sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 181 191 232 319 362 382 464 638 724 764 841 1276 1448 1528 1682 1991 2101 2552 2896 3056 3364 3982 4202 5104 5249 5539 6728 7964 8404 9251 10498 11078 13456 15928 16808 18502 20996 22156 31856 33616 34571 37004 41992 44312 57739 60929 69142 74008 83984 88624 115478 121858 138284 148016 152221 160631 230956 243716 276568 304442 321262 380281 461912 487432 553136 608884 642524 760562 923824 974864 1002559 1217768 1285048 1521124 1674431 1766941 2005118 2435536 2570096 3042248 3348862 3533882 4010236 6084496 6697724 7067764 8020472 11028149 13395448 14135528 16040944 22056298 26790896 28271056 29074211 44112596 58148422 88225192 116296844 176450384 232593688 319816321 465187376 639632642 1279265284 2558530568 5117061136