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61146464116 = 2287717430577
BaseRepresentation
bin111000111100100111…
…001111111101110100
312211211101212012212011
4320330213033331310
52000211443322431
644031300534004
74263160240453
oct707447177564
9184741765764
1061146464116
1123a28648571
12ba259b1304
1359c6128a1a
142d60c48b9a
1518cd215cb1
hexe3c9cff74

61146464116 has 12 divisors (see below), whose sum is σ = 107128332388. Its totient is φ = 30538369152.

The previous prime is 61146464089. The next prime is 61146464117.

61146464116 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 42623254116 + 18523210000 = 206454^2 + 136100^2 .

It is a super-2 number, since 2×611464641162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61146464117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8711781 + ... + 8718796.

Almost surely, 261146464116 is an apocalyptic number.

It is an amenable number.

61146464116 is a deficient number, since it is larger than the sum of its proper divisors (45981868272).

61146464116 is a wasteful number, since it uses less digits than its factorization.

61146464116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17431458 (or 17431456 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The spelling of 61146464116 in words is "sixty-one billion, one hundred forty-six million, four hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 4 877 1754 3508 17430577 34861154 69722308 15286616029 30573232058 61146464116