Search a number
-
+
41533246368 = 253425396311
BaseRepresentation
bin100110101011100100…
…110000101110100000
310222012112010112010000
4212223210300232200
51140030002340433
631025145340000
73000142524555
oct465344605640
9128175115100
1041533246368
11166834867a9
128071497600
133bbb915333
142020086a2c
1511313ec113
hex9ab930ba0

41533246368 has 120 divisors (see below), whose sum is σ = 122215595040. Its totient is φ = 13836769920.

The previous prime is 41533246343. The next prime is 41533246387. The reversal of 41533246368 is 86364233514.

41533246368 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 3 + 2 + 4 + 636 + 8 = 666.

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, 6577933 + ... + 6584243.

It is an arithmetic number, because the mean of its divisors is an integer number (1018463292).

Almost surely, 241533246368 is an apocalyptic number.

41533246368 is a gapful number since it is divisible by the number (48) 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 41533246368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61107797520).

41533246368 is an abundant number, since it is smaller than the sum of its proper divisors (80682348672).

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

41533246368 is a wasteful number, since it uses less digits than its factorization.

41533246368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8855 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 41533246368 in words is "forty-one billion, five hundred thirty-three million, two hundred forty-six thousand, three hundred sixty-eight".

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 1296 2539 2592 5078 6311 7617 10156 12622 15234 18933 20312 22851 25244 30468 37866 40624 45702 50488 56799 60936 68553 75732 81248 91404 100976 113598 121872 137106 151464 170397 182808 201952 205659 227196 243744 274212 302928 340794 365616 411318 454392 511191 548424 605856 681588 731232 822636 908784 1022382 1096848 1363176 1645272 1817568 2044764 2193696 2726352 3290544 4089528 5452704 6581088 8179056 16023629 16358112 32047258 48070887 64094516 96141774 128189032 144212661 192283548 256378064 288425322 384567096 432637983 512756128 576850644 769134192 865275966 1153701288 1297913949 1538268384 1730551932 2307402576 2595827898 3461103864 4614805152 5191655796 6922207728 10383311592 13844415456 20766623184 41533246368