Search a number
-
+
41075223168 = 273715280961
BaseRepresentation
bin100110010000010001…
…100010101010000000
310221000121021112101210
4212100101202222000
51133110224120133
630511504330120
72652611431140
oct462021425200
9127017245353
1041075223168
1116468990131
127b64013940
133b47a697a5
141db92da920
1511060c6763
hex990462a80

41075223168 has 64 divisors (see below), whose sum is σ = 124692649920. Its totient is φ = 11735777280.

The previous prime is 41075223143. The next prime is 41075223191. The reversal of 41075223168 is 86132257014.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7637793 + ... + 7643168.

It is an arithmetic number, because the mean of its divisors is an integer number (1948322655).

Almost surely, 241075223168 is an apocalyptic number.

41075223168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41075223168 is an abundant number, since it is smaller than the sum of its proper divisors (83617426752).

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

41075223168 is a wasteful number, since it uses less digits than its factorization.

41075223168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280985 (or 15280973 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 41075223168 in words is "forty-one billion, seventy-five million, two hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 15280961 30561922 45842883 61123844 91685766 106966727 122247688 183371532 213933454 244495376 320900181 366743064 427866908 488990752 641800362 733486128 855733816 977981504 1283600724 1466972256 1711467632 1955963008 2567201448 2933944512 3422935264 5134402896 5867889024 6845870528 10268805792 13691741056 20537611584 41075223168