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5664896784 = 243316380449
BaseRepresentation
bin1010100011010011…
…10111011100010000
3112121210111120111000
411101221313130100
543100203144114
62334042222000
7260244554031
oct52151673420
915553446430
105664896784
112447760888
1211211b4900
136c382a241
143ba4dca88
152324e2e09
hex151a77710

5664896784 has 80 divisors (see below), whose sum is σ = 16360312000. Its totient is φ = 1876690944.

The previous prime is 5664896777. The next prime is 5664896789. The reversal of 5664896784 is 4876984665.

5664896784 is a `hidden beast` number, since 566 + 4 + 8 + 9 + 67 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5664896789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30192 + ... + 110640.

It is an arithmetic number, because the mean of its divisors is an integer number (204503900).

Almost surely, 25664896784 is an apocalyptic number.

5664896784 is a gapful number since it is divisible by the number (54) 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 5664896784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180156000).

5664896784 is an abundant number, since it is smaller than the sum of its proper divisors (10695415216).

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

5664896784 is a wasteful number, since it uses less digits than its factorization.

5664896784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80629 (or 80617 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The square root of 5664896784 is about 75265.5085945747. The cubic root of 5664896784 is about 1782.6414496299.

The spelling of 5664896784 in words is "five billion, six hundred sixty-four million, eight hundred ninety-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 652 978 1304 1467 1956 2608 2934 3912 4401 5868 7824 8802 11736 17604 23472 35208 70416 80449 160898 241347 321796 482694 643592 724041 965388 1287184 1448082 1930776 2172123 2896164 3861552 4344246 5792328 8688492 11584656 13113187 17376984 26226374 34753968 39339561 52452748 78679122 104905496 118018683 157358244 209810992 236037366 314716488 354056049 472074732 629432976 708112098 944149464 1416224196 1888298928 2832448392 5664896784