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220426070555520 = 27325449747711399
BaseRepresentation
bin110010000111100111110001…
…101000100111101110000000
31001220110112012212000101010100
4302013213301220213232000
5212342430043030234040
62100450201110202400
764300154341322064
oct6207476150475600
91056415185011110
10220426070555520
1164264198372a35
1220880071053400
1395cc121158c5b
143c60970663aa4
151a73bc44acb30
hexc879f1a27b80

220426070555520 has 384 divisors, whose sum is σ = 763022964600000. Its totient is φ = 58636383289344.

The previous prime is 220426070555503. The next prime is 220426070555533. The reversal of 220426070555520 is 25555070624022.

220426070555520 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 2 + 6 + 0 + 70 + 5 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2204260705555202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19337310781 + ... + 19337322179.

Almost surely, 2220426070555520 is an apocalyptic number.

220426070555520 is a gapful number since it is divisible by the number (20) 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 220426070555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381511482300000).

220426070555520 is an abundant number, since it is smaller than the sum of its proper divisors (542596894044480).

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

220426070555520 is a wasteful number, since it uses less digits than its factorization.

220426070555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19350 (or 19335 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 220426070555520 in words is "two hundred twenty trillion, four hundred twenty-six billion, seventy million, five hundred fifty-five thousand, five hundred twenty".