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41600653305461 = 4111293209280061
BaseRepresentation
bin10010111010101111010000…
…01010011010011001110101
312110021222120001111211220022
421131113220022122121311
520423041114221233321
6224251024251414525
711522355653462315
oct1135275012323165
9173258501454808
1041600653305461
111228981329a628
1247ba59a754445
131a29c03961183
14a3b6a7867445
154c21dd84cdab
hex25d5e829a675

41600653305461 has 16 divisors (see below), whose sum is σ = 42666493489200. Its totient is φ = 40537273497600.

The previous prime is 41600653305443. The next prime is 41600653305467. The reversal of 41600653305461 is 16450335600614.

It can be written as a sum of positive squares in 8 ways, for example, as 6296034456100 + 35304618849361 = 2509190^2 + 5941769^2 .

It is a cyclic number.

It is not a de Polignac number, because 41600653305461 - 242 = 37202606794357 is a prime.

It is a super-2 number, since 2×416006533054612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41600653305467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148401371 + ... + 148681431.

It is an arithmetic number, because the mean of its divisors is an integer number (2666655843075).

Almost surely, 241600653305461 is an apocalyptic number.

41600653305461 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41600653305461 is a deficient number, since it is larger than the sum of its proper divisors (1065840183739).

41600653305461 is a wasteful number, since it uses less digits than its factorization.

41600653305461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284440.

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 41600653305461 in words is "forty-one trillion, six hundred billion, six hundred fifty-three million, three hundred five thousand, four hundred sixty-one".

Divisors: 1 41 1129 3209 46289 131569 280061 3622961 11482501 148541401 316188869 898715749 12963743629 36847345709 1014650080621 41600653305461