Search a number
-
+
41847008642464 = 25232912823152897
BaseRepresentation
bin10011000001111010001000…
…00101011100010110100000
312111011112102222112122022011
421200331010011130112200
520441110133203024324
6225000130025322304
711546226612341404
oct1140750405342640
9174145388478264
1041847008642464
111237424247a5a3
12483a292636394
131a47204902b2c
14a495981c1104
154c880b6d1c94
hex260f4415c5a0

41847008642464 has 96 divisors (see below), whose sum is σ = 88940252862720. Its totient is φ = 19322022838272.

The previous prime is 41847008642447. The next prime is 41847008642477. The reversal of 41847008642464 is 46424680074814.

41847008642464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 41847008642399 and 41847008642408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273617664 + ... + 273770560.

It is an arithmetic number, because the mean of its divisors is an integer number (926460967320).

Almost surely, 241847008642464 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 41847008642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44470126431360).

41847008642464 is an abundant number, since it is smaller than the sum of its proper divisors (47093244220256).

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

41847008642464 is a wasteful number, since it uses less digits than its factorization.

41847008642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165782 (or 165774 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 58.

The spelling of 41847008642464 in words is "forty-one trillion, eight hundred forty-seven billion, eight million, six hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 232 368 464 667 736 928 1334 2668 5336 10672 12823 21344 25646 51292 102584 152897 205168 294929 305794 371867 410336 589858 611588 743734 1179716 1223176 1487468 2359432 2446352 2974936 3516631 4434013 4718864 4892704 5949872 7033262 8552941 8868026 9437728 11899744 14066524 17105882 17736052 28133048 34211764 35472104 56266096 68423528 70944208 101982299 112532192 136847056 141888416 203964598 273694112 407929196 815858392 1631716784 1960598231 3263433568 3921196462 7842392924 15684785848 31369571696 45093759313 56857348699 62739143392 90187518626 113714697398 180375037252 227429394796 360750074504 454858789592 721500149008 909717579184 1307719020077 1443000298016 1819435158368 2615438040154 5230876080308 10461752160616 20923504321232 41847008642464