Search a number
-
+
4282158866680 = 23517157181221603
BaseRepresentation
bin111110010100000100100…
…011101110000011111000
3120011101000000101020202201
4332110010203232003320
51030124330132213210
613035110245435544
7621242613542512
oct76240443560370
916141000336681
104282158866680
111401065054392
12591ab240bbb4
13250a625ab706
1410b386baabb2
15765c71e253a
hex3e5048ee0f8

4282158866680 has 128 divisors (see below), whose sum is σ = 10323360290880. Its totient is φ = 1592981544960.

The previous prime is 4282158866669. The next prime is 4282158866729. The reversal of 4282158866680 is 866688512824.

It is a super-2 number, since 2×42821588666802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19212759 + ... + 19434361.

Almost surely, 24282158866680 is an apocalyptic number.

4282158866680 is a gapful number since it is divisible by the number (40) 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 4282158866680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161680145440).

4282158866680 is an abundant number, since it is smaller than the sum of its proper divisors (6041201424200).

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

4282158866680 is a wasteful number, since it uses less digits than its factorization.

4282158866680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221969 (or 221965 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 64.

The spelling of 4282158866680 in words is "four trillion, two hundred eighty-two billion, one hundred fifty-eight million, eight hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 157 170 181 314 340 362 628 680 724 785 905 1256 1448 1570 1810 2669 3077 3140 3620 5338 6154 6280 7240 10676 12308 13345 15385 21352 24616 26690 28417 30770 53380 56834 61540 106760 113668 123080 142085 221603 227336 284170 443206 483089 568340 886412 966178 1108015 1136680 1772824 1932356 2216030 2415445 3767251 3864712 4432060 4830890 7534502 8864120 9661780 15069004 18836255 19323560 30138008 34791671 37672510 40110143 69583342 75345020 80220286 139166684 150690040 160440572 173958355 200550715 278333368 320881144 347916710 401101430 591458407 681872431 695833420 802202860 1182916814 1363744862 1391666840 1604405720 2365833628 2727489724 2957292035 3409362155 4731667256 5454979448 5914584070 6297292451 6818724310 11829168140 12594584902 13637448620 23658336280 25189169804 27274897240 31486462255 50378339608 62972924510 107053971667 125945849020 214107943334 251891698040 428215886668 535269858335 856431773336 1070539716670 2141079433340 4282158866680