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20825156982573 = 3217238935696737
BaseRepresentation
bin1001011110000101111000…
…00101011001011100101101
32201201212100222220101001200
410233002330011121130231
510212144410141420243
6112142540044000113
74246365542446266
oct457027405313455
981655328811050
1020825156982573
1166a999922a119
12240407ab30039
13b80a5b16bac8
1451dd2b75196d
15261a9ba08ad3
hex12f0bc15972d

20825156982573 has 24 divisors (see below), whose sum is σ = 31851578718648. Its totient is φ = 13066215985152.

The previous prime is 20825156982571. The next prime is 20825156982631. The reversal of 20825156982573 is 37528965152802.

It is a happy number.

20825156982573 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 5 + 1 + 56 + 9 + 8 + 2 + 573 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15574175566569 + 5250981416004 = 3946413^2 + 2291502^2 .

It is not a de Polignac number, because 20825156982573 - 21 = 20825156982571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20825156982573.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20825156982571) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 807261 + ... + 6503997.

It is an arithmetic number, because the mean of its divisors is an integer number (1327149113277).

Almost surely, 220825156982573 is an apocalyptic number.

It is an amenable number.

20825156982573 is a deficient number, since it is larger than the sum of its proper divisors (11026421736075).

20825156982573 is a wasteful number, since it uses less digits than its factorization.

20825156982573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720653 (or 5720650 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 20825156982573 in words is "twenty trillion, eight hundred twenty-five billion, one hundred fifty-six million, nine hundred eighty-two thousand, five hundred seventy-three".

Divisors: 1 3 9 17 51 153 23893 71679 215037 406181 1218543 3655629 5696737 17090211 51270633 96844529 290533587 871600761 136112137141 408336411423 1225009234269 2313906331397 6941718994191 20825156982573