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5558258304 = 27329749741
BaseRepresentation
bin1010010110100110…
…00100101010000000
3112100100211202222200
411023103010222000
542340403231204
62315312433200
7254511262464
oct51323045200
915310752880
105558258304
1123a2545805
1210b1548800
136a7700c51
143aa2a04a4
15227e7b539
hex14b4c4a80

5558258304 has 96 divisors (see below), whose sum is σ = 16159683540. Its totient is φ = 1833615360.

The previous prime is 5558258287. The next prime is 5558258311. The reversal of 5558258304 is 4038528555.

It can be written as a sum of positive squares in 2 ways, for example, as 5263792704 + 294465600 = 72552^2 + 17160^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5558258304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86874 + ... + 136614.

Almost surely, 25558258304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5558258304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079841770).

5558258304 is an abundant number, since it is smaller than the sum of its proper divisors (10601425236).

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

5558258304 is a wasteful number, since it uses less digits than its factorization.

5558258304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49858 (or 49843 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The square root of 5558258304 is about 74553.7276331640. The cubic root of 5558258304 is about 1771.3847786211.

The spelling of 5558258304 in words is "five billion, five hundred fifty-eight million, two hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 288 291 384 388 576 582 776 873 1152 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 12416 13968 18624 27936 37248 49741 55872 99482 111744 149223 198964 298446 397928 447669 596892 795856 895338 1193784 1591712 1790676 2387568 3183424 3581352 4775136 4824877 6366848 7162704 9550272 9649754 14325408 14474631 19100544 19299508 28650816 28949262 38599016 43423893 57301632 57898524 77198032 86847786 115797048 154396064 173695572 231594096 308792128 347391144 463188192 617584256 694782288 926376384 1389564576 1852752768 2779129152 5558258304