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54061607664131 = 377189231227177
BaseRepresentation
bin11000100101011001100101…
…11010111011101000000011
321002102020110101112120102012
430102230302322323220003
524041221133030223011
6310551320521243135
714246552015062334
oct1422546272735003
9232366411476365
1054061607664131
1116253443163661
1260916030334ab
132421cac065c32
14d4c84ab2828b
1563b3ee582a8b
hex312b32ebba03

54061607664131 has 16 divisors (see below), whose sum is σ = 56937380310720. Its totient is φ = 51276938549760.

The previous prime is 54061607664107. The next prime is 54061607664133. The reversal of 54061607664131 is 13146670616045.

It is a happy number.

54061607664131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54061607664131 is a prime.

It is a super-2 number, since 2×540616076641312 (a number of 28 digits) contains 22 as substring.

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 54061607664131.

It is not an unprimeable number, because it can be changed into a prime (54061607664133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115379786 + ... + 115847391.

It is an arithmetic number, because the mean of its divisors is an integer number (3558586269420).

Almost surely, 254061607664131 is an apocalyptic number.

54061607664131 is a deficient number, since it is larger than the sum of its proper divisors (2875772646589).

54061607664131 is a wasteful number, since it uses less digits than its factorization.

54061607664131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231227374.

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 54061607664131 in words is "fifty-four trillion, sixty-one billion, six hundred seven million, six hundred sixty-four thousand, one hundred thirty-one".

Divisors: 1 37 71 89 2627 3293 6319 233803 231227177 8555405549 16417129567 20579218753 607433793979 761431093861 1461124531463 54061607664131