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1054141625061 = 32722982425649
BaseRepresentation
bin11110101011011111011…
…11001011001011100101
310201202220221102221121200
433111233233023023211
5114232340224000221
62124133241233113
7136105416654300
oct17255757131345
93652827387550
101054141625061
11377071514178
12150371a92799
13785360b5b85
1439040c35b37
151c649a09426
hexf56fbcb2e5

1054141625061 has 36 divisors (see below), whose sum is σ = 1832322199500. Its totient is φ = 581595372288.

The previous prime is 1054141625029. The next prime is 1054141625071. The reversal of 1054141625061 is 1605261414501.

1054141625061 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 141 + 6 + 2 + 506 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 806143601025 + 247998024036 = 897855^2 + 497994^2 .

It is not a de Polignac number, because 1054141625061 - 25 = 1054141625029 is a prime.

It is a super-2 number, since 2×10541416250612 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054141625071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41200036 + ... + 41225613.

It is an arithmetic number, because the mean of its divisors is an integer number (50897838875).

Almost surely, 21054141625061 is an apocalyptic number.

It is an amenable number.

1054141625061 is a deficient number, since it is larger than the sum of its proper divisors (778180574439).

1054141625061 is a wasteful number, since it uses less digits than its factorization.

1054141625061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82425698 (or 82425688 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1054141625061 in words is "one trillion, fifty-four billion, one hundred forty-one million, six hundred twenty-five thousand, sixty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 82425649 247276947 576979543 741830841 1730938629 2390343821 4038856801 5192815887 7171031463 12116570403 16732406747 21513094389 36349711209 50197220241 117126847229 150591660723 351380541687 1054141625061