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5663333664 = 2532371074967
BaseRepresentation
bin1010100011000111…
…11001110100100000
3112121200120011021200
411101203321310200
543044303134124
62333544521200
7260225353602
oct52143716440
915550504250
105663333664
11244689344a
121120780200
136c3400911
143ba213172
152322d4bc9
hex1518f9d20

5663333664 has 144 divisors (see below), whose sum is σ = 16698322368. Its totient is φ = 1819224576.

The previous prime is 5663333659. The next prime is 5663333717. The reversal of 5663333664 is 4663333665.

5663333664 is a `hidden beast` number, since 5 + 6 + 633 + 3 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137709 + ... + 1142675.

It is an arithmetic number, because the mean of its divisors is an integer number (115960572).

Almost surely, 25663333664 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 5663333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349161184).

5663333664 is an abundant number, since it is smaller than the sum of its proper divisors (11034988704).

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

5663333664 is a wasteful number, since it uses less digits than its factorization.

5663333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5116 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 45.

The square root of 5663333664 is about 75255.1238388457. The cubic root of 5663333664 is about 1782.4774726008.

Subtracting from 5663333664 its reverse (4663333665), we obtain a palindrome (999999999).

The spelling of 5663333664 in words is "five billion, six hundred sixty-three million, three hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 107 111 144 148 214 222 288 296 321 333 428 444 592 642 666 856 888 963 1184 1284 1332 1712 1776 1926 2568 2664 3424 3552 3852 3959 4967 5136 5328 7704 7918 9934 10272 10656 11877 14901 15408 15836 19868 23754 29802 30816 31672 35631 39736 44703 47508 59604 63344 71262 79472 89406 95016 119208 126688 142524 158944 178812 183779 190032 238416 285048 357624 367558 380064 476832 531469 551337 570096 715248 735116 1062938 1102674 1140192 1430496 1470232 1594407 1654011 2125876 2205348 2940464 3188814 3308022 4251752 4410696 4783221 5880928 6377628 6616044 8503504 8821392 9566442 12755256 13232088 17007008 17642784 19132884 19664353 25510512 26464176 38265768 39328706 51021024 52928352 58993059 76531536 78657412 117986118 153063072 157314824 176979177 235972236 314629648 353958354 471944472 629259296 707916708 943888944 1415833416 1887777888 2831666832 5663333664