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5655080064 = 27357725523
BaseRepresentation
bin1010100010001000…
…11010110010000000
3112121010000211110210
411101010122302000
543040200030224
62333051554120
7260065246614
oct52104326200
915533024423
105655080064
112442166397
121119a5b940
136c17a0c2a
143b90a5344
15231704429
hex15111ac80

5655080064 has 64 divisors (see below), whose sum is σ = 15047929440. Its totient is φ = 1881686016.

The previous prime is 5655079979. The next prime is 5655080077. The reversal of 5655080064 is 4600805565.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208807 + ... + 234329.

Almost surely, 25655080064 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 5655080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523964720).

5655080064 is an abundant number, since it is smaller than the sum of its proper divisors (9392849376).

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

5655080064 is a wasteful number, since it uses less digits than its factorization.

5655080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26117 (or 26105 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 5655080064 is about 75200.2663825069. The cubic root of 5655080064 is about 1781.6111389989.

The spelling of 5655080064 in words is "five billion, six hundred fifty-five million, eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 577 1154 1731 2308 3462 4616 6924 9232 13848 18464 25523 27696 36928 51046 55392 73856 76569 102092 110784 153138 204184 221568 306276 408368 612552 816736 1225104 1633472 2450208 3266944 4900416 9800832 14726771 29453542 44180313 58907084 88360626 117814168 176721252 235628336 353442504 471256672 706885008 942513344 1413770016 1885026688 2827540032 5655080064