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5995563008 = 211292592
BaseRepresentation
bin1011001010101110…
…10000100000000000
3120110211201011021012
411211113100200000
544234331004013
62430533420052
7301401305351
oct54527204000
916424634235
105995563008
1125a7380256
1211b3a9a628
137471a4326
1440c3b5d28
1525155d1a8
hex1655d0800

5995563008 has 108 divisors (see below), whose sum is σ = 12629844045. Its totient is φ = 2845351936.

The previous prime is 5995563001. The next prime is 5995563061. The reversal of 5995563008 is 8003655995.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5991998464 + 3564544 = 77408^2 + 1888^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=54752.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5995563001) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 101619683 + ... + 101619741.

Almost surely, 25995563008 is an apocalyptic number.

5995563008 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5995563008

5995563008 is an abundant number, since it is smaller than the sum of its proper divisors (6634281037).

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

5995563008 is an frugal number, since it uses more digits than its factorization.

5995563008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 50.

The square root of 5995563008 is about 77431.0209670517. The cubic root of 5995563008 is about 1816.6725629563.

Multiplying 5995563008 by its sum of digits (50), we get a square (299778150400 = 5475202).

The spelling of 5995563008 in words is "five billion, nine hundred ninety-five million, five hundred sixty-three thousand, eight".

Divisors: 1 2 4 8 16 29 32 58 59 64 116 118 128 232 236 256 464 472 512 841 928 944 1024 1682 1711 1856 1888 2048 3364 3422 3481 3712 3776 6728 6844 6962 7424 7552 13456 13688 13924 14848 15104 26912 27376 27848 29696 30208 49619 53824 54752 55696 59392 60416 99238 100949 107648 109504 111392 120832 198476 201898 215296 219008 222784 396952 403796 430592 438016 445568 793904 807592 861184 876032 891136 1587808 1615184 1722368 1752064 1782272 2927521 3175616 3230368 3504128 3564544 5855042 6351232 6460736 7129088 11710084 12702464 12921472 23420168 25404928 25842944 46840336 50809856 51685888 93680672 101619712 103371776 187361344 206743552 374722688 749445376 1498890752 2997781504 5995563008