Search a number
-
+
5140771188 = 2237297129723
BaseRepresentation
bin1001100100110100…
…11111000101110100
3111021021021020022220
410302122133011310
541012014134223
62210040322340
7241251556050
oct46232370564
914237236286
105140771188
1121a8916533
12bb57733b0
1363c078c57
1436aa66c60
152014b16e3
hex13269f174

5140771188 has 96 divisors (see below), whose sum is σ = 14381660160. Its totient is φ = 1398122880.

The previous prime is 5140771121. The next prime is 5140771189. The reversal of 5140771188 is 8811770415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140771189) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 158095 + ... + 187817.

It is an arithmetic number, because the mean of its divisors is an integer number (149808960).

Almost surely, 25140771188 is an apocalyptic number.

5140771188 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140771188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7190830080).

5140771188 is an abundant number, since it is smaller than the sum of its proper divisors (9240888972).

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

5140771188 is a wasteful number, since it uses less digits than its factorization.

5140771188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29837 (or 29835 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 42.

The square root of 5140771188 is about 71699.1714596480. The cubic root of 5140771188 is about 1725.8753451900.

The spelling of 5140771188 in words is "five billion, one hundred forty million, seven hundred seventy-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 71 84 87 116 142 174 203 213 284 348 406 426 497 609 812 852 994 1218 1491 1988 2059 2436 2982 4118 5964 6177 8236 12354 14413 24708 28826 29723 43239 57652 59446 86478 89169 118892 172956 178338 208061 356676 416122 624183 832244 861967 1248366 1723934 2110333 2496732 2585901 3447868 4220666 5171802 6033769 6330999 8441332 10343604 12067538 12661998 14772331 18101307 24135076 25323996 29544662 36202614 44316993 59089324 61199657 72405228 88633986 122399314 177267972 183598971 244798628 367197942 428397599 734395884 856795198 1285192797 1713590396 2570385594 5140771188