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41155980465600 = 2633527111341139167
BaseRepresentation
bin10010101101110010111111…
…00110001001010111000000
312101201110210001010002012000
421112321133212021113000
520343244421444344400
6223310444005304000
711445264363632550
oct1126713746112700
9171643701102160
1041155980465600
1112128176047470
12474837a705000
1319c6cb912bca0
14a23d62679160
154b58650dc600
hex256e5f9895c0

41155980465600 has 5376 divisors, whose sum is σ = 209079418060800. Its totient is φ = 7600324608000.

The previous prime is 41155980465571. The next prime is 41155980465631. The reversal of 41155980465600 is 656408955114.

It is a happy number.

41155980465600 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 598 + 0 + 46 + 5 + 6 + 0 + 0 = 666.

41155980465600 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 (54).

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 767 ways as a sum of consecutive naturals, for example, 246442996717 + ... + 246442996883.

It is an arithmetic number, because the mean of its divisors is an integer number (38891260800).

Almost surely, 241155980465600 is an apocalyptic number.

41155980465600 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 41155980465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104539709030400).

41155980465600 is an abundant number, since it is smaller than the sum of its proper divisors (167923437595200).

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

41155980465600 is a wasteful number, since it uses less digits than its factorization.

41155980465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 41155980465600 in words is "forty-one trillion, one hundred fifty-five billion, nine hundred eighty million, four hundred sixty-five thousand, six hundred".