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41220815500800 = 2935521323127349
BaseRepresentation
bin10010101111101011110000…
…00100001011011000000000
312101221200010111200010100000
421113311320010023120000
520400330212232011200
6223400325313200000
711453051143430025
oct1127657004133000
9171850114603300
1041220815500800
11121527167a8a91
124758a53860000
131a0014c4a9540
14a2715332b54c
154b73ac05d300
hex257d7810b600

41220815500800 has 2880 divisors, whose sum is σ = 173762478489600. Its totient is φ = 9601491271680.

The previous prime is 41220815500691. The next prime is 41220815500807. The reversal of 41220815500800 is 800551802214.

41220815500800 is a `hidden beast` number, since 4 + 1 + 2 + 20 + 8 + 1 + 550 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41220815500807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118111219026 + ... + 118111219374.

It is an arithmetic number, because the mean of its divisors is an integer number (60334193920).

Almost surely, 241220815500800 is an apocalyptic number.

41220815500800 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 41220815500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86881239244800).

41220815500800 is an abundant number, since it is smaller than the sum of its proper divisors (132541662988800).

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

41220815500800 is a wasteful number, since it uses less digits than its factorization.

41220815500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 41220815500800 in words is "forty-one trillion, two hundred twenty billion, eight hundred fifteen million, five hundred thousand, eight hundred".