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20445206566356 = 2233111319115534463
BaseRepresentation
bin1001010011000010001010…
…10001100101010111010100
32200101112122121011101111000
410221201011101211113110
510134433240340110411
6111252222003543300
74210055164264305
oct451410521452724
980345577141430
1020445206566356
116572844112880
12236250238ab30
13b53c89579210
145097a62a07ac
15256c603c2956
hex1298454655d4

20445206566356 has 384 divisors, whose sum is σ = 62653269934080. Its totient is φ = 5684059699200.

The previous prime is 20445206566331. The next prime is 20445206566357. The reversal of 20445206566356 is 65366560254402.

20445206566356 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 5 + 20 + 6 + 566 + 3 + 56 = 666.

It is a super-2 number, since 2×204452065663562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20445206566357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4581043381 + ... + 4581047843.

It is an arithmetic number, because the mean of its divisors is an integer number (163159557120).

Almost surely, 220445206566356 is an apocalyptic number.

20445206566356 is a gapful number since it is divisible by the number (26) 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 20445206566356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31326634967040).

20445206566356 is an abundant number, since it is smaller than the sum of its proper divisors (42208063367724).

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

20445206566356 is a wasteful number, since it uses less digits than its factorization.

20445206566356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 20445206566356 in words is "twenty trillion, four hundred forty-five billion, two hundred six million, five hundred sixty-six thousand, three hundred fifty-six".