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5666381748 = 22323118472749
BaseRepresentation
bin1010100011011111…
…00001111110110100
3112121220022000110200
411101233201332310
543101043203443
62334134120500
7260263310256
oct52157417664
915556260420
105666381748
112448585525
1211217b0130
136c3c2a111
143ba7a7cd6
152326d7dd3
hex151be1fb4

5666381748 has 72 divisors (see below), whose sum is σ = 14798784000. Its totient is φ = 1826210880.

The previous prime is 5666381713. The next prime is 5666381783. The reversal of 5666381748 is 8471836665.

It is an interprime number because it is at equal distance from previous prime (5666381713) and next prime (5666381783).

It is a super-2 number, since 2×56663817482 = 64215764228135071008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5666381694 and 5666381703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059878 + ... + 2062626.

Almost surely, 25666381748 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 5666381748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399392000).

5666381748 is an abundant number, since it is smaller than the sum of its proper divisors (9132402252).

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

5666381748 is a wasteful number, since it uses less digits than its factorization.

5666381748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4632 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5666381748 is about 75275.3727855266. The cubic root of 5666381748 is about 1782.7971998703.

The spelling of 5666381748 in words is "five billion, six hundred sixty-six million, three hundred eighty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1847 2749 3694 5498 5541 7388 8247 10996 11082 16494 16623 22164 24741 32988 33246 49482 57257 66492 85219 98964 114514 170438 171771 229028 255657 340876 343542 511314 515313 687084 766971 1022628 1030626 1533942 2061252 3067884 5077403 10154806 15232209 20309612 30464418 45696627 60928836 91393254 157399493 182786508 314798986 472198479 629597972 944396958 1416595437 1888793916 2833190874 5666381748