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20026602144 = 2532312243123
BaseRepresentation
bin10010101001101011…
…011011001010100000
31220200200120210112100
4102221223123022200
5312003302232034
613111115330400
71306164211113
oct225153331240
956620523470
1020026602144
11854754966a
123a6aa50a00
131b72060153
14d7da4c57a
157c3273099
hex4a9adb2a0

20026602144 has 72 divisors (see below), whose sum is σ = 58787793792. Its totient is φ = 6460191360.

The previous prime is 20026602143. The next prime is 20026602173. The reversal of 20026602144 is 44120662002.

20026602144 is a `hidden beast` number, since 20 + 0 + 26 + 602 + 14 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20026602143) 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, 1112634 + ... + 1130489.

It is an arithmetic number, because the mean of its divisors is an integer number (816497136).

Almost surely, 220026602144 is an apocalyptic number.

20026602144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20026602144 is an abundant number, since it is smaller than the sum of its proper divisors (38761191648).

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

20026602144 is a wasteful number, since it uses less digits than its factorization.

20026602144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243170 (or 2243159 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

It can be divided in two parts, 20026 and 602144, that added together give a triangular number (622170 = T1115).

The spelling of 20026602144 in words is "twenty billion, twenty-six million, six hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 2243123 4486246 6729369 8972492 13458738 17944984 20188107 26917476 35889968 40376214 53834952 69536813 71779936 80752428 107669904 139073626 161504856 208610439 215339808 278147252 323009712 417220878 556294504 625831317 646019424 834441756 1112589008 1251662634 1668883512 2225178016 2503325268 3337767024 5006650536 6675534048 10013301072 20026602144