Search a number
-
+
41204788197760 = 27511192943535979
BaseRepresentation
bin10010101111001101111001…
…10000110111100110000000
312101220010202112110202210201
421113212330300313212000
520400044401234312020
6223345115100334544
711451643030543015
oct1127467460674600
9171803675422721
1041204788197760
1112146941804aa0
124755920244454
1319cb796b83a85
14a264728cd70c
154b6c6ee72a0a
hex2579bcc37980

41204788197760 has 2048 divisors, whose sum is σ = 125635276800000. Its totient is φ = 12748107939840.

The previous prime is 41204788197733. The next prime is 41204788197823. The reversal of 41204788197760 is 6779188740214.

41204788197760 is digitally balanced in base 2, 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 41204788197692 and 41204788197701.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 521579597401 + ... + 521579597479.

It is an arithmetic number, because the mean of its divisors is an integer number (61345350000).

Almost surely, 241204788197760 is an apocalyptic number.

41204788197760 is a gapful number since it is divisible by the number (40) 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 41204788197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62817638400000).

41204788197760 is an abundant number, since it is smaller than the sum of its proper divisors (84430488602240).

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

41204788197760 is a wasteful number, since it uses less digits than its factorization.

41204788197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 64.

The spelling of 41204788197760 in words is "forty-one trillion, two hundred four billion, seven hundred eighty-eight million, one hundred ninety-seven thousand, seven hundred sixty".