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1053446135337 = 33592437271357
BaseRepresentation
bin11110101010001100100…
…10000101111000101001
310201201010110202102002000
433111012102011320221
5114224424202312322
62123540234401213
7136052243256411
oct17250622057051
93651113672060
101053446135337
11376844975482
121501b8b90209
1378454c956ab
1438db6713641
151c6089283ac
hexf546485e29

1053446135337 has 32 divisors (see below), whose sum is σ = 1587769929600. Its totient is φ = 690108237504.

The previous prime is 1053446135299. The next prime is 1053446135377. The reversal of 1053446135337 is 7335316443501.

1053446135337 is a `hidden beast` number, since 1 + 0 + 53 + 4 + 4 + 61 + 3 + 533 + 7 = 666.

It is not a de Polignac number, because 1053446135337 - 223 = 1053437746729 is a prime.

It is a super-2 number, since 2×10534461353372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053446135292 and 1053446135301.

It is not an unprimeable number, because it can be changed into a prime (1053446135377) 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 31 ways as a sum of consecutive naturals, for example, 3746463 + ... + 4017819.

It is an arithmetic number, because the mean of its divisors is an integer number (49617810300).

Almost surely, 21053446135337 is an apocalyptic number.

It is an amenable number.

1053446135337 is a deficient number, since it is larger than the sum of its proper divisors (534323794263).

1053446135337 is a wasteful number, since it uses less digits than its factorization.

1053446135337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273862 (or 273856 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 1053446135337 in words is "one trillion, fifty-three billion, four hundred forty-six million, one hundred thirty-five thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 59 177 531 1593 2437 7311 21933 65799 143783 271357 431349 814071 1294047 2442213 3882141 7326639 16010063 48030189 144090567 432271701 661297009 1983891027 5951673081 17855019243 39016523531 117049570593 351148711779 1053446135337