Search a number
-
+
41326574361696 = 25331337972773701
BaseRepresentation
bin10010110010110000101111…
…10010001101110001100000
312102022210010000121220121000
421121120113302031301200
520404043311014033241
6223521055520432000
711463514016055321
oct1131302762156140
9172283100556530
1041326574361696
1112193557933558
12477544a178600
131a0a105125580
14a2c30714a448
154b9eebb4beb6
hex259617c8dc60

41326574361696 has 768 divisors, whose sum is σ = 135213314584320. Its totient is φ = 12197147443200.

The previous prime is 41326574361623. The next prime is 41326574361719. The reversal of 41326574361696 is 69616347562314.

41326574361696 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 6 + 5 + 7 + 4 + 3 + 616 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11166324646 + ... + 11166328346.

It is an arithmetic number, because the mean of its divisors is an integer number (176059003365).

Almost surely, 241326574361696 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 41326574361696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67606657292160).

41326574361696 is an abundant number, since it is smaller than the sum of its proper divisors (93886740222624).

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

41326574361696 is a wasteful number, since it uses less digits than its factorization.

41326574361696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4130 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 41326574361696 in words is "forty-one trillion, three hundred twenty-six billion, five hundred seventy-four million, three hundred sixty-one thousand, six hundred ninety-six".