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11978551932001 = 71298849189881
BaseRepresentation
bin1010111001001111100101…
…0101010011010001100001
31120102010201212202100200121
42232103321111103101201
53032224033243311001
641250512031320241
72344264453313014
oct256237125232141
946363655670617
1011978551932001
1138a9091315976
121415634980081
1368b75a0065a5
142d5a9d27137b
1515b8c9eb76a1
hexae4f9553461

11978551932001 has 8 divisors (see below), whose sum is σ = 11981649141000. Its totient is φ = 11975455134720.

The previous prime is 11978551931993. The next prime is 11978551932037. The reversal of 11978551932001 is 10023915587911.

11978551932001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25905224401 + 11952646707600 = 160951^2 + 3457260^2 .

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 11978551932001 - 23 = 11978551931993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11978551932001.

It is not an unprimeable number, because it can be changed into a prime (11978551932701) 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, 62989581 + ... + 63179461.

It is an arithmetic number, because the mean of its divisors is an integer number (1497706142625).

Almost surely, 211978551932001 is an apocalyptic number.

It is an amenable number.

11978551932001 is a deficient number, since it is larger than the sum of its proper divisors (3097208999).

11978551932001 is an equidigital number, since it uses as much as digits as its factorization.

11978551932001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205859.

The product of its (nonzero) digits is 680400, while the sum is 52.

The spelling of 11978551932001 in words is "eleven trillion, nine hundred seventy-eight billion, five hundred fifty-one million, nine hundred thirty-two thousand, one".

Divisors: 1 7129 8849 189881 63084521 1353661649 1680256969 11978551932001