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5663772288 = 27332396857
BaseRepresentation
bin1010100011001011…
…00100111010000000
3112121201101102222000
411101211210322000
543044411203123
62334002144000
7260232161436
oct52145447200
915551342860
105663772288
112447062a49
121120952000
136c3525465
143ba2c8d56
1523236eb43
hex151964e80

5663772288 has 128 divisors (see below), whose sum is σ = 16788384000. Its totient is φ = 1879750656.

The previous prime is 5663772281. The next prime is 5663772307. The reversal of 5663772288 is 8822773665.

5663772288 is a `hidden beast` number, since 566 + 3 + 7 + 72 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5663772281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 822556 + ... + 829412.

It is an arithmetic number, because the mean of its divisors is an integer number (131159250).

Almost surely, 25663772288 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 5663772288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394192000).

5663772288 is an abundant number, since it is smaller than the sum of its proper divisors (11124611712).

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

5663772288 is a wasteful number, since it uses less digits than its factorization.

5663772288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7101 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 5663772288 is about 75258.0380291700. The cubic root of 5663772288 is about 1782.5234889145.

The spelling of 5663772288 in words is "five billion, six hundred sixty-three million, seven hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 239 288 384 432 478 576 717 864 956 1152 1434 1728 1912 2151 2868 3456 3824 4302 5736 6453 6857 7648 8604 11472 12906 13714 15296 17208 20571 22944 25812 27428 30592 34416 41142 45888 51624 54856 61713 68832 82284 91776 103248 109712 123426 137664 164568 185139 206496 219424 246852 275328 329136 370278 412992 438848 493704 658272 740556 825984 877696 987408 1316544 1481112 1638823 1974816 2633088 2962224 3277646 3949632 4916469 5924448 6555292 7899264 9832938 11848896 13110584 14749407 19665876 23697792 26221168 29498814 39331752 44248221 52442336 58997628 78663504 88496442 104884672 117995256 157327008 176992884 209769344 235990512 314654016 353985768 471981024 629308032 707971536 943962048 1415943072 1887924096 2831886144 5663772288