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20011006526337 = 3217615857366077
BaseRepresentation
bin1001000110011001011001…
…11011111000001110000001
32121212000220110011222100100
410203030230323320032001
510110330020132320322
6110320532434113013
74133514252655641
oct443145473701601
977760813158310
1020011006526337
1164156905531a2
1222b232571b769
13b22050684b08
144d2775d4a521
1524a7eb2b3dac
hex12332cef8381

20011006526337 has 48 divisors (see below), whose sum is σ = 31112187277392. Its totient is φ = 12347948482560.

The previous prime is 20011006526321. The next prime is 20011006526363. The reversal of 20011006526337 is 73362560011002.

20011006526337 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 10 + 0 + 6 + 5 + 2 + 633 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 271557441 + 20010734968896 = 16479^2 + 4473336^2 .

It is not a de Polignac number, because 20011006526337 - 24 = 20011006526321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20011006526377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54480343 + ... + 54846419.

It is an arithmetic number, because the mean of its divisors is an integer number (648170568279).

Almost surely, 220011006526337 is an apocalyptic number.

It is an amenable number.

20011006526337 is a deficient number, since it is larger than the sum of its proper divisors (11101180751055).

20011006526337 is a wasteful number, since it uses less digits than its factorization.

20011006526337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372018 (or 372015 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 20011006526337 its reverse (73362560011002), we get a palindrome (93373566537339).

The spelling of 20011006526337 in words is "twenty trillion, eleven billion, six million, five hundred twenty-six thousand, three hundred thirty-seven".

Divisors: 1 3 9 17 51 61 153 183 549 1037 3111 5857 9333 17571 52713 99569 298707 357277 366077 896121 1071831 1098231 3215493 3294693 6073709 6223309 18221127 18669927 22330697 54663381 56009781 66992091 200976273 379621849 1138865547 2144112989 3416596641 6432338967 19297016901 36449920813 109349762439 130790892329 328049287317 392372676987 1177118030961 2223445169593 6670335508779 20011006526337