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41155019689 = 727323972
BaseRepresentation
bin100110010101000001…
…111100001110101001
310221020011102121122111
4212111001330032221
51133241141112224
630523434522321
72654600616100
oct462501741651
9127204377574
1041155019689
11164a9a32473
127b868963a1
133b5b458374
141dc5b4d037
15110d0d9d94
hex99507c3a9

41155019689 has 27 divisors (see below), whose sum is σ = 48661573797. Its totient is φ = 34704863424.

The previous prime is 41155019681. The next prime is 41155019753. The reversal of 41155019689 is 98691055114.

It is a happy number.

The square root of 41155019689 is 202867.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2353899289 + 38801120400 = 48517^2 + 196980^2 .

It is not a de Polignac number, because 41155019689 - 23 = 41155019681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41155019681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103664839 + ... + 103665235.

It is an arithmetic number, because the mean of its divisors is an integer number (1802280511).

Almost surely, 241155019689 is an apocalyptic number.

41155019689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

41155019689 is the 202867-th square number.

41155019689 is the 101434-th centered octagonal number.

It is an amenable number.

41155019689 is a deficient number, since it is larger than the sum of its proper divisors (7506554108).

41155019689 is an frugal number, since it uses more digits than its factorization.

41155019689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 49.

Multiplying 41155019689 by its sum of digits (49), we get a square (2016595964761 = 14200692).

41155019689 divided by its sum of digits (49) gives a square (839898361 = 289812).

The spelling of 41155019689 in words is "forty-one billion, one hundred fifty-five million, nineteen thousand, six hundred eighty-nine".

Divisors: 1 7 49 73 397 511 2779 3577 5329 19453 28981 37303 157609 202867 261121 1103263 1420069 2115613 7722841 11505457 14809291 80538199 103665037 563767393 839898361 5879288527 41155019689