Search a number
-
+
41668322468680 = 2355357947339187
BaseRepresentation
bin10010111100101101010011…
…00011110010001101001000
312110112110020000222111210201
421132112221203302031020
520430143211022444210
6224342055120421544
711530302606045415
oct1136265143621510
9173473200874721
1041668322468680
1112305488819506
12480b724a778b4
131a333c922785b
14a40a86aa510c
154c3d4e4ea53a
hex25e5a98f2348

41668322468680 has 64 divisors (see below), whose sum is σ = 95524593848640. Its totient is φ = 16352520667392.

The previous prime is 41668322468657. The next prime is 41668322468687. The reversal of 41668322468680 is 8686422386614.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41668322468687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122678047 + ... + 123017233.

It is an arithmetic number, because the mean of its divisors is an integer number (1492571778885).

Almost surely, 241668322468680 is an apocalyptic number.

41668322468680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41668322468680 is an abundant number, since it is smaller than the sum of its proper divisors (53856271379960).

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

41668322468680 is a wasteful number, since it uses less digits than its factorization.

41668322468680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397198 (or 397194 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 64.

The spelling of 41668322468680 in words is "forty-one trillion, six hundred sixty-eight billion, three hundred twenty-two million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 57947 115894 231788 289735 339187 463576 579470 678374 1158940 1356748 1695935 2317880 2713496 3071191 3391870 6142382 6783740 12284764 13567480 15355955 17976911 24569528 30711910 35953822 61423820 71907644 89884555 122847640 143815288 179769110 359538220 719076440 19654869089 39309738178 78619476356 98274345445 157238952712 196548690890 393097381780 786194763560 1041708061717 2083416123434 4166832246868 5208540308585 8333664493736 10417080617170 20834161234340 41668322468680