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54041588514045 = 3351136391642097
BaseRepresentation
bin11000100100110100010011…
…01011111011110011111101
321002100022210012222101012000
430102122021223323303331
524040404133124422140
6310534210225332513
714245242641106306
oct1422321153736375
9232308705871160
1054041588514045
11162459aa944920
126089756797139
13242013b7149b2
14d4b8ac0997ad
1563ab2bcd2a30
hex312689afbcfd

54041588514045 has 32 divisors (see below), whose sum is σ = 104807929242240. Its totient is φ = 26201982309120.

The previous prime is 54041588514031. The next prime is 54041588514097.

54041588514045 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 1 + 5 + 88 + 514 + 0 + 45 = 666.

54041588514045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54041588514045 - 24 = 54041588514029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54041588513982 and 54041588514000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18195819564 + ... + 18195822533.

It is an arithmetic number, because the mean of its divisors is an integer number (3275247788820).

Almost surely, 254041588514045 is an apocalyptic number.

54041588514045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54041588514045 is a deficient number, since it is larger than the sum of its proper divisors (50766340728195).

54041588514045 is a wasteful number, since it uses less digits than its factorization.

54041588514045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36391642122 (or 36391642116 counting only the distinct ones).

The product of its (nonzero) digits is 10240000, while the sum is 54.

The spelling of 54041588514045 in words is "fifty-four trillion, forty-one billion, five hundred eighty-eight million, five hundred fourteen thousand, forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 36391642097 109174926291 181958210485 327524778873 400308063067 545874631455 982574336619 1200924189201 1637623894365 2001540315335 3602772567603 4912871683095 6004620946005 10808317702809 18013862838015 54041588514045