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41664061646145 = 3252789446374383
BaseRepresentation
bin10010111100100101010111…
…00110000010010101000001
312110112001020002111022002200
421132102223212002111001
520430110444240134040
6224340112232303413
711530062200463321
oct1136225346022501
9173461202438080
1041664061646145
11123036a168a474
12480a935b41b69
131a32b9a5746a3
14a407a0c59281
154c3ba0404630
hex25e4ab982541

41664061646145 has 48 divisors (see below), whose sum is σ = 72260759301120. Its totient is φ = 22207589889408.

The previous prime is 41664061646111. The next prime is 41664061646147. The reversal of 41664061646145 is 54164616046614.

41664061646145 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 4 + 0 + 6 + 16 + 4 + 614 + 5 = 666.

It is not a de Polignac number, because 41664061646145 - 213 = 41664061637953 is a prime.

It is a super-2 number, since 2×416640616461452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41664061646091 and 41664061646100.

It is not an unprimeable number, because it can be changed into a prime (41664061646147) 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, 560091624 + ... + 560166006.

It is an arithmetic number, because the mean of its divisors is an integer number (1505432485440).

Almost surely, 241664061646145 is an apocalyptic number.

41664061646145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41664061646145 is a deficient number, since it is larger than the sum of its proper divisors (30596697654975).

41664061646145 is a wasteful number, since it uses less digits than its factorization.

41664061646145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81646 (or 81643 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 41664061646145 in words is "forty-one trillion, six hundred sixty-four billion, sixty-one million, six hundred forty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 2789 4463 8367 13389 13945 22315 25101 40167 41835 66945 74383 125505 200835 223149 371915 669447 1115745 3347235 12447307 37341921 62236535 112025763 186709605 207454187 331971329 560128815 622362561 995913987 1037270935 1659856645 1867087683 2987741961 3111812805 4979569935 9335438415 14938709805 925868036581 2777604109743 4629340182905 8332812329229 13888020548715 41664061646145