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5998785664 = 27235213911
BaseRepresentation
bin1011001011000111…
…00011010010000000
3120111001202212220211
411211203203102000
544241142120124
62431130443504
7301440560014
oct54543432200
916431685824
105998785664
1125a9181503
1211b4b93594
13747a62121
1440c9b4544
15251997e94
hex1658e3480

5998785664 has 64 divisors (see below), whose sum is σ = 12497431680. Its totient is φ = 2862745600.

The previous prime is 5998785643. The next prime is 5998785701. The reversal of 5998785664 is 4665878995.

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

It is a super-2 number, since 2×59987856642 = 71970858885223841792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5998785664.

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 7 ways as a sum of consecutive naturals, for example, 1531869 + ... + 1535779.

It is an arithmetic number, because the mean of its divisors is an integer number (195272370).

Almost surely, 25998785664 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 5998785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248715840).

5998785664 is an abundant number, since it is smaller than the sum of its proper divisors (6498646016).

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

5998785664 is a wasteful number, since it uses less digits than its factorization.

5998785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4457 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 67.

The square root of 5998785664 is about 77451.8280223262. The cubic root of 5998785664 is about 1816.9979959525.

The spelling of 5998785664 in words is "five billion, nine hundred ninety-eight million, seven hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 521 736 1042 1472 2084 2944 3911 4168 7822 8336 11983 15644 16672 23966 31288 33344 47932 62576 66688 89953 95864 125152 179906 191728 250304 359812 383456 500608 719624 766912 1439248 1533824 2037631 2878496 4075262 5756992 8150524 11513984 16301048 32602096 46865513 65204192 93731026 130408384 187462052 260816768 374924104 749848208 1499696416 2999392832 5998785664