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20411222148 = 22323596472441
BaseRepresentation
bin10011000000100110…
…101000100010000100
31221200111022111222200
4103000212220202010
5313300233102043
613213215154500
71321544345202
oct230046504204
957614274880
1020411222148
11872466a339
123b57815a30
131c03948155
14db8b6c072
157e6de97d3
hex4c09a8884

20411222148 has 72 divisors (see below), whose sum is σ = 51839948160. Its totient is φ = 6771527040.

The previous prime is 20411222107. The next prime is 20411222149. The reversal of 20411222148 is 84122211402.

20411222148 is a `hidden beast` number, since 20 + 411 + 2 + 221 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (20411222149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8360608 + ... + 8363048.

It is an arithmetic number, because the mean of its divisors is an integer number (719999280).

Almost surely, 220411222148 is an apocalyptic number.

It is an amenable number.

20411222148 is an abundant number, since it is smaller than the sum of its proper divisors (31428726012).

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

20411222148 is a wasteful number, since it uses less digits than its factorization.

20411222148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 20411222148 in words is "twenty billion, four hundred eleven million, two hundred twenty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 359 647 718 1077 1294 1436 1941 2154 2441 2588 3231 3882 4308 4882 5823 6462 7323 7764 9764 11646 12924 14646 21969 23292 29292 43938 87876 232273 464546 696819 876319 929092 1393638 1579327 1752638 2090457 2628957 2787276 3158654 3505276 4180914 4737981 5257914 6317308 7886871 8361828 9475962 10515828 14213943 15773742 18951924 28427886 31547484 56855772 566978393 1133956786 1700935179 2267913572 3401870358 5102805537 6803740716 10205611074 20411222148