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55639545292864 = 2613217242192
BaseRepresentation
bin11001010011010100101110…
…10101010010100001000000
321022000002101120120110121201
430221222113111102201000
524243044242043332424
6314200242041030544
714501552541446311
oct1451522725224100
9238002346513551
1055639545292864
1116801664885a65
1262a7397185454
132507a2c23c900
14da4d7b27a608
156674a3d17d44
hex329a97552840

55639545292864 has 189 divisors, whose sum is σ = 127032599980647. Its totient is φ = 24163485585408.

The previous prime is 55639545292829. The next prime is 55639545292879. The reversal of 55639545292864 is 46829254593655.

The square root of 55639545292864 is 7459192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 502386099264 + 55137159193600 = 708792^2 + 7425440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13187849347 + ... + 13187853565.

Almost surely, 255639545292864 is an apocalyptic number.

55639545292864 is the 7459192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55639545292864

55639545292864 is an abundant number, since it is smaller than the sum of its proper divisors (71393054687783).

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

55639545292864 is an frugal number, since it uses more digits than its factorization.

55639545292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 4251 counting only the distinct ones).

The product of its digits is 2799360000, while the sum is 73.

The spelling of 55639545292864 in words is "fifty-five trillion, six hundred thirty-nine billion, five hundred forty-five million, two hundred ninety-two thousand, eight hundred sixty-four".