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5578894864 = 247122632
BaseRepresentation
bin1010011001000011…
…10010111000010000
3112101210200020000201
411030201302320100
542411144113424
62321331024544
7255151552414
oct51441627020
915353606021
105578894864
112403160314
1210b843b154
136aba7802a
143acd12d44
15229ba5d44
hex14c872e10

5578894864 has 45 divisors (see below), whose sum is σ = 11005338799. Its totient is φ = 2739702560.

The previous prime is 5578894847. The next prime is 5578894889. The reversal of 5578894864 is 4684988755.

It is a happy number.

The square root of 5578894864 is 74692.

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

It is a super-2 number, since 2×55788948642 = 62248135807131156992, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (77414400) is a multiple of the sum of its prime divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 5578894796 and 5578894805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21212397 + ... + 21212659.

Almost surely, 25578894864 is an apocalyptic number.

5578894864 is the 74692-nd square number.

It is an amenable number.

5578894864 is a deficient number, since it is larger than the sum of its proper divisors (5426443935).

5578894864 is an frugal number, since it uses more digits than its factorization.

5578894864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 336 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 64.

The cubic root of 5578894864 is about 1773.5743218701.

Multiplying 5578894864 by its sum of digits (64), we get a square (357049271296 = 5975362).

The spelling of 5578894864 in words is "five billion, five hundred seventy-eight million, eight hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 71 142 263 284 526 568 1052 1136 2104 4208 5041 10082 18673 20164 37346 40328 69169 74692 80656 138338 149384 276676 298768 553352 1106704 1325783 2651566 4910999 5303132 9821998 10606264 19643996 21212528 39287992 78575984 348680929 697361858 1394723716 2789447432 5578894864