Search a number
-
+
5191598384 = 247711813607
BaseRepresentation
bin1001101010111000…
…11000000100110000
3111101210220112010122
410311130120010300
541113022122014
62215053545412
7242436600230
oct46534300460
914353815118
105191598384
112224581785
12100a7a5268
13649763a0b
143736d7cc0
15205ba158e
hex135718130

5191598384 has 80 divisors (see below), whose sum is σ = 11725249536. Its totient is φ = 2180908800.

The previous prime is 5191598383. The next prime is 5191598389. The reversal of 5191598384 is 4838951915.

It is a happy number.

It is a super-2 number, since 2×51915983842 = 53905387561502822912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5191598383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437509 + ... + 1441115.

Almost surely, 25191598384 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 5191598384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862624768).

5191598384 is an abundant number, since it is smaller than the sum of its proper divisors (6533651152).

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

5191598384 is a wasteful number, since it uses less digits than its factorization.

5191598384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3868 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 53.

The square root of 5191598384 is about 72052.7472342311. The cubic root of 5191598384 is about 1731.5446553712.

The spelling of 5191598384 in words is "five billion, one hundred ninety-one million, five hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 181 284 362 497 568 724 994 1136 1267 1448 1988 2534 2896 3607 3976 5068 7214 7952 10136 12851 14428 20272 25249 25702 28856 50498 51404 57712 89957 100996 102808 179914 201992 205616 256097 359828 403984 512194 652867 719656 1024388 1305734 1439312 1792679 2048776 2611468 3585358 4097552 4570069 5222936 7170716 9140138 10445872 14341432 18280276 28682864 36560552 46353557 73121104 92707114 185414228 324474899 370828456 648949798 741656912 1297899596 2595799192 5191598384