Search a number
-
+
41550063264 = 253491917443
BaseRepresentation
bin100110101100100100…
…111010011010100000
310222020200202220120000
4212230210322122200
51140043304011024
631030550020000
73000435465453
oct465444723240
9128220686500
1041550063264
1116691a22566
128077047600
133bc2252968
1420223c349a
151132b1ecc9
hex9ac93a6a0

41550063264 has 120 divisors (see below), whose sum is σ = 122337563040. Its totient is φ = 13834157184.

The previous prime is 41550063223. The next prime is 41550063281. The reversal of 41550063264 is 46236005514.

41550063264 is a `hidden beast` number, since 4 + 15 + 5 + 0 + 0 + 632 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2373327 + ... + 2390769.

It is an arithmetic number, because the mean of its divisors is an integer number (1019479692).

Almost surely, 241550063264 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 41550063264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61168781520).

41550063264 is an abundant number, since it is smaller than the sum of its proper divisors (80787499776).

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

41550063264 is a wasteful number, since it uses less digits than its factorization.

41550063264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18384 (or 18367 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 41550063264 its reverse (46236005514), we get a palindrome (87786068778).

The spelling of 41550063264 in words is "forty-one billion, five hundred fifty million, sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 919 1296 1838 2592 2757 3676 5514 7352 8271 11028 14704 16542 17443 22056 24813 29408 33084 34886 44112 49626 52329 66168 69772 74439 88224 99252 104658 132336 139544 148878 156987 198504 209316 264672 279088 297756 313974 397008 418632 470961 558176 595512 627948 794016 837264 941922 1191024 1255896 1412883 1674528 1883844 2382048 2511792 2825766 3767688 5023584 5651532 7535376 11303064 15070752 16030117 22606128 32060234 45212256 48090351 64120468 96180702 128240936 144271053 192361404 256481872 288542106 384722808 432813159 512963744 577084212 769445616 865626318 1154168424 1298439477 1538891232 1731252636 2308336848 2596878954 3462505272 4616673696 5193757908 6925010544 10387515816 13850021088 20775031632 41550063264