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41150133216 = 25355291941
BaseRepresentation
bin100110010100101111…
…010011001111100000
310221012211020100200000
4212110233103033200
51133233413230331
630523142100000
72654511234603
oct462457231740
9127184210600
1041150133216
11164a71a5165
127b8511a600
133b5a43716a
141dc523a33a
15110c9720e6
hex994bd33e0

41150133216 has 72 divisors (see below), whose sum is σ = 121354813944. Its totient is φ = 13716708480.

The previous prime is 41150133209. The next prime is 41150133217. The reversal of 41150133216 is 61233105114.

It is a happy number.

41150133216 is a `hidden beast` number, since 411 + 5 + 0 + 1 + 33 + 216 = 666.

41150133216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 41150133216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41150133217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2638195 + ... + 2653746.

It is an arithmetic number, because the mean of its divisors is an integer number (1685483527).

Almost surely, 241150133216 is an apocalyptic number.

It is an amenable number.

41150133216 is an abundant number, since it is smaller than the sum of its proper divisors (80204680728).

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

41150133216 is an equidigital number, since it uses as much as digits as its factorization.

41150133216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291966 (or 5291946 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 41150133216 in words is "forty-one billion, one hundred fifty million, one hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 5291941 10583882 15875823 21167764 31751646 42335528 47627469 63503292 84671056 95254938 127006584 142882407 169342112 190509876 254013168 285764814 381019752 428647221 508026336 571529628 762039504 857294442 1143059256 1285941663 1524079008 1714588884 2286118512 2571883326 3429177768 4572237024 5143766652 6858355536 10287533304 13716711072 20575066608 41150133216