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40535885636065 = 51741601100919181
BaseRepresentation
bin10010011011101111111110…
…00100000110000111100001
312022112012012120021220210001
421031313333010012013201
520303114443210323230
6222113532341140001
711352423014561641
oct1115677704060741
9168465176256701
1040535885636065
1111a09199745036
1246681620ba601
131980696273901
14a01d396a6521
154a46710210ca
hex24ddff1061e1

40535885636065 has 64 divisors (see below), whose sum is σ = 52903547807040. Its totient is φ = 29696163840000.

The previous prime is 40535885636039. The next prime is 40535885636131. The reversal of 40535885636065 is 56063658853504.

It can be written as a sum of positive squares in 32 ways, for example, as 19451910426624 + 21083975209441 = 4410432^2 + 4591729^2 .

It is not a de Polignac number, because 40535885636065 - 223 = 40535877247457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40535885635988 and 40535885636006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2113325775 + ... + 2113344955.

It is an arithmetic number, because the mean of its divisors is an integer number (826617934485).

Almost surely, 240535885636065 is an apocalyptic number.

It is an amenable number.

40535885636065 is a deficient number, since it is larger than the sum of its proper divisors (12367662170975).

40535885636065 is a wasteful number, since it uses less digits than its factorization.

40535885636065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20854.

The product of its (nonzero) digits is 311040000, while the sum is 64.

The spelling of 40535885636065 in words is "forty trillion, five hundred thirty-five billion, eight hundred eighty-five million, six hundred thirty-six thousand, sixty-five".

Divisors: 1 5 17 41 85 205 601 697 1009 3005 3485 5045 10217 17153 19181 24641 41369 51085 85765 95905 123205 206845 326077 418897 606409 703273 786421 1630385 2094485 3032045 3516365 3932105 10308953 11527781 13369157 19353629 24862769 51544765 57638905 66845785 96768145 124313845 195972277 329011693 422667073 472639021 793498789 979861385 1645058465 2113335365 2363195105 3967493945 8034863357 11631531029 13489479413 40174316785 58157655145 67447397065 197736027493 476892772189 988680137465 2384463860945 8107177127213 40535885636065