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41645144154614 = 27111320801770307
BaseRepresentation
bin10010111100000010001000…
…00001100010000111110110
312110110020101200220011022012
421132001010001202013312
520424303223400421424
6224323303133004222
711525522331451640
oct1136010401420766
9173406350804265
1041645144154614
11122a6674209050
124807136623672
131a31174235010
14a3d8c863b890
154c3444716b0e
hex25e0440621f6

41645144154614 has 32 divisors (see below), whose sum is σ = 83872737881856. Its totient is φ = 14977274620320.

The previous prime is 41645144154563. The next prime is 41645144154619.

41645144154614 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×416451441546142 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41645144154619) 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, 10400883152 + ... + 10400887155.

It is an arithmetic number, because the mean of its divisors is an integer number (2621023058808).

Almost surely, 241645144154614 is an apocalyptic number.

41645144154614 is an abundant number, since it is smaller than the sum of its proper divisors (42227593727242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41645144154614 is a wasteful number, since it uses less digits than its factorization.

41645144154614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20801770340.

The product of its digits is 3686400, while the sum is 50.

The spelling of 41645144154614 in words is "forty-one trillion, six hundred forty-five billion, one hundred forty-four million, one hundred fifty-four thousand, six hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 20801770307 41603540614 145612392149 228819473377 270423013991 291224784298 457638946754 540846027982 1601736313639 1892961097937 2974653153901 3203472627278 3785922195874 5949306307802 20822572077307 41645144154614