Search a number
-
+
41641466428608 = 2634631654728309
BaseRepresentation
bin10010111011111011010001…
…10100000111110011000000
312110102212220101121022122220
421131331220310013303000
520424223210401203413
6224321454154331040
711525332233344454
oct1135755064076300
9173385811538586
1041641466428608
11122a5057232072
12480648aa29a80
131a30a0930c897
14a3d65a018664
154c32cb900223
hex25df68d07cc0

41641466428608 has 112 divisors (see below), whose sum is σ = 110424915202560. Its totient is φ = 13849183079424.

The previous prime is 41641466428603. The next prime is 41641466428669. The reversal of 41641466428608 is 80682466414614.

41641466428608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41641466428603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470947958 + ... + 1470976266.

It is an arithmetic number, because the mean of its divisors is an integer number (985936742880).

Almost surely, 241641466428608 is an apocalyptic number.

41641466428608 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 41641466428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55212457601280).

41641466428608 is an abundant number, since it is smaller than the sum of its proper divisors (68783448773952).

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

41641466428608 is a wasteful number, since it uses less digits than its factorization.

41641466428608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45334 (or 45324 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 41641466428608 in words is "forty-one trillion, six hundred forty-one billion, four hundred sixty-six million, four hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 463 926 1389 1852 2778 3704 5556 7408 11112 14816 16547 22224 28309 29632 33094 44448 49641 56618 66188 84927 88896 99282 113236 132376 169854 198564 226472 264752 339708 397128 452944 529504 679416 794256 905888 1059008 1358832 1588512 1811776 2717664 3177024 5435328 7661261 13107067 15322522 22983783 26214134 30645044 39321201 45967566 52428268 61290088 78642402 91935132 104856536 122580176 157284804 183870264 209713072 245160352 314569608 367740528 419426144 468429023 490320704 629139216 735481056 838852288 936858046 1258278432 1405287069 1470962112 1873716092 2516556864 2810574138 3747432184 5621148276 7494864368 11242296552 14989728736 22484593104 29979457472 44969186208 89938372416 216882637649 433765275298 650647912947 867530550596 1301295825894 1735061101192 2602591651788 3470122202384 5205183303576 6940244404768 10410366607152 13880488809536 20820733214304 41641466428608