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27443552311201 = 135738936784793
BaseRepresentation
bin1100011110101101100110…
…01011111101011110100001
310121011120121100100111101211
412033112303023331132201
512044113343342424301
6134211221025030121
75531505544515265
oct617266313753641
9117146540314354
1027443552311201
1188208219117a4
1230b28b2185341
131240bba253930
146ac3bc91c0a5
15328d0a757051
hex18f5b32fd7a1

27443552311201 has 8 divisors (see below), whose sum is σ = 29555110587240. Its totient is φ = 25332067719552.

The previous prime is 27443552311183. The next prime is 27443552311213. The reversal of 27443552311201 is 10211325534472.

It can be written as a sum of positive squares in 4 ways, for example, as 3439912090000 + 24003640221201 = 1854700^2 + 4899351^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27443552311201 - 25 = 27443552311169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27443552311291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17646340 + ... + 19138453.

It is an arithmetic number, because the mean of its divisors is an integer number (3694388823405).

Almost surely, 227443552311201 is an apocalyptic number.

It is an amenable number.

27443552311201 is a deficient number, since it is larger than the sum of its proper divisors (2111558276039).

27443552311201 is a wasteful number, since it uses less digits than its factorization.

27443552311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36842195.

The product of its (nonzero) digits is 201600, while the sum is 40.

Adding to 27443552311201 its reverse (10211325534472), we get a palindrome (37654877845673).

The spelling of 27443552311201 in words is "twenty-seven trillion, four hundred forty-three billion, five hundred fifty-two million, three hundred eleven thousand, two hundred one".

Divisors: 1 13 57389 746057 36784793 478202309 2111042485477 27443552311201