Search a number
-
+
5666681250 = 23255100741
BaseRepresentation
bin1010100011100001…
…01011000110100010
3112121220212020022100
411101300223012202
543101132300000
62334144351230
7260265665406
oct52160530642
915556766270
105666681250
11244876a54a
121121915516
136c4003539
143ba845106
15232746a00
hex151c2b1a2

5666681250 has 72 divisors (see below), whose sum is σ = 15346431828. Its totient is φ = 1511100000.

The previous prime is 5666681243. The next prime is 5666681309. The reversal of 5666681250 is 521866665.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 781929369 + 4884751881 = 27963^2 + 69891^2 .

It is a super-2 number, since 2×56666812502 = 64222552778203125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5666681196 and 5666681205.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5880 + ... + 106620.

Almost surely, 25666681250 is an apocalyptic number.

5666681250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5666681250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673215914).

5666681250 is an abundant number, since it is smaller than the sum of its proper divisors (9679750578).

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

5666681250 is a wasteful number, since it uses less digits than its factorization.

5666681250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100774 (or 100751 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5666681250 is about 75277.3621349739. The cubic root of 5666681250 is about 1782.8286097978.

The spelling of 5666681250 in words is "five billion, six hundred sixty-six million, six hundred eighty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 3125 3750 5625 6250 9375 11250 18750 28125 56250 100741 201482 302223 503705 604446 906669 1007410 1511115 1813338 2518525 3022230 4533345 5037050 7555575 9066690 12592625 15111150 22666725 25185250 37777875 45333450 62963125 75555750 113333625 125926250 188889375 226667250 314815625 377778750 566668125 629631250 944446875 1133336250 1888893750 2833340625 5666681250