Search a number
-
+
5640880128 = 2163132207
BaseRepresentation
bin1010100000011100…
…10000000000000000
3112120010022101211020
411100032100000000
543023031131003
62331423345440
7256533455442
oct52016200000
915503271736
105640880128
112435147804
121115152280
136bb86b7c0
143b724a492
1523034bd53
hex150390000

5640880128 has 136 divisors (see below), whose sum is σ = 16206667008. Its totient is φ = 1734868992.

The previous prime is 5640880127. The next prime is 5640880171. The reversal of 5640880128 is 8210880465.

It is a self number, because there is not a number n which added to its sum of digits gives 5640880128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5640880123) 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 7 ways as a sum of consecutive naturals, for example, 2554801 + ... + 2557007.

Almost surely, 25640880128 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 5640880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103333504).

5640880128 is an abundant number, since it is smaller than the sum of its proper divisors (10565786880).

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

5640880128 is an equidigital number, since it uses as much as digits as its factorization.

5640880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 5640880128 is about 75105.7929057406. The cubic root of 5640880128 is about 1780.1186774385.

The spelling of 5640880128 in words is "five billion, six hundred forty million, eight hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2207 2496 3072 3328 4096 4414 4992 6144 6621 6656 8192 8828 9984 12288 13242 13312 16384 17656 19968 24576 26484 26624 28691 32768 35312 39936 49152 52968 53248 57382 65536 70624 79872 86073 98304 105936 106496 114764 141248 159744 172146 196608 211872 212992 229528 282496 319488 344292 423744 425984 459056 564992 638976 688584 847488 851968 918112 1129984 1277952 1377168 1694976 1836224 2259968 2555904 2754336 3389952 3672448 4519936 5508672 6779904 7344896 9039872 11017344 13559808 14689792 18079744 22034688 27119616 29379584 36159488 44069376 54239232 58759168 72318976 88138752 108478464 117518336 144637952 176277504 216956928 235036672 352555008 433913856 470073344 705110016 940146688 1410220032 1880293376 2820440064 5640880128