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1057067666055 = 32554143420319
BaseRepresentation
bin11110110000111100010…
…01001000101010000111
310202001110212022020021100
433120132021020222013
5114304333310303210
62125335444351143
7136241056624122
oct17303611105207
93661425266240
101057067666055
1137833315a075
12150a499a54b3
13788b137388b
143923b6a93b9
151c76b83e5c0
hexf61e248a87

1057067666055 has 24 divisors (see below), whose sum is σ = 1835637448320. Its totient is φ = 562727321280.

The previous prime is 1057067666041. The next prime is 1057067666071. The reversal of 1057067666055 is 5506667607501.

It is not a de Polignac number, because 1057067666055 - 28 = 1057067665799 is a prime.

It is a super-2 number, since 2×10570676660552 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057067665992 and 1057067666010.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21685815 + ... + 21734504.

It is an arithmetic number, because the mean of its divisors is an integer number (76484893680).

Almost surely, 21057067666055 is an apocalyptic number.

1057067666055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1057067666055 is a deficient number, since it is larger than the sum of its proper divisors (778569782265).

1057067666055 is a wasteful number, since it uses less digits than its factorization.

1057067666055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43420871 (or 43420868 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 1057067666055 in words is "one trillion, fifty-seven billion, sixty-seven million, six hundred sixty-six thousand, fifty-five".

Divisors: 1 3 5 9 15 45 541 1623 2705 4869 8115 24345 43420319 130260957 217101595 390782871 651304785 1953914355 23490392579 70471177737 117451962895 211413533211 352355888685 1057067666055