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6056006561 = 1123759101227
BaseRepresentation
bin1011010001111011…
…10101001110100001
3120122001110000020022
411220331311032201
544400314202221
62440533123225
7303034130543
oct55075651641
916561400208
106056006561
112628504400
121210189515
13756878147
1441642b693
152569ec4ab
hex168f753a1

6056006561 has 48 divisors (see below), whose sum is σ = 7052149440. Its totient is φ = 5190768000.

The previous prime is 6056006531. The next prime is 6056006587. The reversal of 6056006561 is 1656006506.

It is not a de Polignac number, because 6056006561 - 26 = 6056006497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6056006501) 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, 26678330 + ... + 26678556.

It is an arithmetic number, because the mean of its divisors is an integer number (146919780).

Almost surely, 26056006561 is an apocalyptic number.

It is an amenable number.

6056006561 is a deficient number, since it is larger than the sum of its proper divisors (996142879).

6056006561 is a wasteful number, since it uses less digits than its factorization.

6056006561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 6056006561 is about 77820.3479881708. The cubic root of 6056006561 is about 1822.7570178500.

The spelling of 6056006561 in words is "six billion, fifty-six million, six thousand, five hundred sixty-one".

Divisors: 1 11 37 59 101 121 227 407 649 1111 2183 2497 3737 4477 5959 7139 8399 12221 13393 22927 24013 27467 41107 65549 92389 147323 220483 252197 264143 452177 495541 721039 848299 1016279 1352693 1620553 2425313 2774167 5450951 9331289 14879623 26678443 50049641 59960461 102644179 163675853 550546051 6056006561