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41711674905 = 3253735370969
BaseRepresentation
bin100110110110001101…
…011010011000011001
310222122221212122001100
4212312031122120121
51140411142044110
631055001542013
73004440246435
oct466615323031
9128587778040
1041711674905
11167651757aa
1281011a4909
133c19888b54
142039a519c5
151141de4bc0
hex9b635a619

41711674905 has 48 divisors (see below), whose sum is σ = 74465698320. Its totient is φ = 21583355904.

The previous prime is 41711674903. The next prime is 41711674913. The reversal of 41711674905 is 50947611714.

41711674905 is a `hidden beast` number, since 41 + 7 + 116 + 7 + 490 + 5 = 666.

41711674905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 836539929 + 40875134976 = 28923^2 + 202176^2 .

It is not a de Polignac number, because 41711674905 - 21 = 41711674903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41711674903) 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, 552261 + ... + 623229.

It is an arithmetic number, because the mean of its divisors is an integer number (1551368715).

Almost surely, 241711674905 is an apocalyptic number.

41711674905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41711674905 is a deficient number, since it is larger than the sum of its proper divisors (32754023415).

41711674905 is a wasteful number, since it uses less digits than its factorization.

41711674905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71370 (or 71367 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 41711674905 in words is "forty-one billion, seven hundred eleven million, six hundred seventy-four thousand, nine hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 353 555 1059 1665 1765 3177 5295 13061 15885 39183 65305 70969 117549 195915 212907 354845 587745 638721 1064535 2625853 3193605 7877559 13129265 23632677 25052057 39387795 75156171 118163385 125260285 225468513 375780855 926926109 1127342565 2780778327 4634630545 8342334981 13903891635 41711674905