Search a number
-
+
166392887472 = 2433783662941
BaseRepresentation
bin1001101011110111001…
…0011111100010110000
3120220111012120110222000
42122331302133202300
510211233034344342
6204235001014000
715010241131050
oct2327562374260
9526435513860
10166392887472
11646264a1139
12282b8784300
13128c9856786
1480a6995560
1544dcd3144c
hex26bdc9f8b0

166392887472 has 160 divisors (see below), whose sum is σ = 552416309760. Its totient is φ = 46967973120.

The previous prime is 166392887471. The next prime is 166392887483. The reversal of 166392887472 is 274788293661.

166392887472 is a `hidden beast` number, since 1 + 6 + 63 + 9 + 28 + 87 + 472 = 666.

166392887472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166392887471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80479 + ... + 582462.

It is an arithmetic number, because the mean of its divisors is an integer number (3452601936).

Almost surely, 2166392887472 is an apocalyptic number.

166392887472 is a gapful number since it is divisible by the number (12) 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 166392887472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276208154880).

166392887472 is an abundant number, since it is smaller than the sum of its proper divisors (386023422288).

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

166392887472 is a wasteful number, since it uses less digits than its factorization.

166392887472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663048 (or 663036 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 166392887472 in words is "one hundred sixty-six billion, three hundred ninety-two million, eight hundred eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 498 504 581 664 747 756 996 1008 1162 1328 1494 1512 1743 1992 2241 2324 2988 3024 3486 3984 4482 4648 5229 5976 6972 8964 9296 10458 11952 13944 15687 17928 20916 27888 31374 35856 41832 62748 83664 125496 250992 662941 1325882 1988823 2651764 3977646 4640587 5303528 5966469 7955292 9281174 10607056 11932938 13921761 15910584 17899407 18562348 23865876 27843522 31821168 35798814 37124696 41765283 47731752 55024103 55687044 71597628 74249392 83530566 95463504 110048206 111374088 125295849 143195256 165072309 167061132 220096412 222748176 250591698 286390512 330144618 334122264 385168721 440192824 495216927 501183396 660289236 668244528 770337442 880385648 990433854 1002366792 1155506163 1320578472 1485650781 1540674884 1980867708 2004733584 2311012326 2641156944 2971301562 3081349768 3466518489 3961735416 4622024652 5942603124 6162699536 6933036978 7923470832 9244049304 10399555467 11885206248 13866073956 18488098608 20799110934 23770412496 27732147912 41598221868 55464295824 83196443736 166392887472