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20422404612 = 2234569110777
BaseRepresentation
bin10011000001010001…
…010010101000000100
31221201021100122110000
4103001101102220010
5313311113421422
613214255001300
71322041401141
oct230121225004
957637318400
1020422404612
11872aa07945
123b5b509230
131c06061cac
14dba43d3c8
157e7da7cac
hex4c1452a04

20422404612 has 60 divisors (see below), whose sum is σ = 53482510620. Its totient is φ = 6795442944.

The previous prime is 20422404601. The next prime is 20422404637. The reversal of 20422404612 is 21640422402.

20422404612 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 40 + 4 + 612 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2598552576 + 17823852036 = 50976^2 + 133506^2 .

It is a super-2 number, since 2×204224046122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 128968 + ... + 239744.

It is an arithmetic number, because the mean of its divisors is an integer number (891375177).

Almost surely, 220422404612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20422404612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26741255310).

20422404612 is an abundant number, since it is smaller than the sum of its proper divisors (33060106008).

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

20422404612 is a wasteful number, since it uses less digits than its factorization.

20422404612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111362 (or 111351 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 20422404612 in words is "twenty billion, four hundred twenty-two million, four hundred four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 569 1138 1707 2276 3414 5121 6828 10242 15363 20484 30726 46089 61452 92178 110777 184356 221554 332331 443108 664662 996993 1329324 1993986 2990979 3987972 5981958 8972937 11963916 17945874 35891748 63032113 126064226 189096339 252128452 378192678 567289017 756385356 1134578034 1701867051 2269156068 3403734102 5105601153 6807468204 10211202306 20422404612