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20266234128 = 2433731534079
BaseRepresentation
bin10010110111111101…
…100011000100010000
31221022101111100211000
4102313331203010100
5313001123443003
613150555422000
71315134101460
oct226775430420
957271440730
1020266234128
11865a840728
123b17154900
131bac8b261a
14da37c9ba0
157d930a1a3
hex4b7f63110

20266234128 has 320 divisors, whose sum is σ = 69938380800. Its totient is φ = 5496491520.

The previous prime is 20266234127. The next prime is 20266234129. The reversal of 20266234128 is 82143266202.

20266234128 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 623 + 4 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (20266234127) and next prime (20266234129).

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

It is a junction number, because it is equal to n+sod(n) for n = 20266234092 and 20266234101.

It is not an unprimeable number, because it can be changed into a prime (20266234127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4966393 + ... + 4970471.

It is an arithmetic number, because the mean of its divisors is an integer number (218557440).

Almost surely, 220266234128 is an apocalyptic number.

20266234128 is a gapful number since it is divisible by the number (28) 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 20266234128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34969190400).

20266234128 is an abundant number, since it is smaller than the sum of its proper divisors (49672146672).

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

20266234128 is a wasteful number, since it uses less digits than its factorization.

20266234128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20266234128 in words is "twenty billion, two hundred sixty-six million, two hundred thirty-four thousand, one hundred twenty-eight".