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5649656832 = 210322232749
BaseRepresentation
bin1010100001011111…
…01110110000000000
3112120201211022012100
411100233232300000
543032303004312
62332335430400
7260001201501
oct52057566000
915521738170
105649656832
11243a0a1886
121118085400
136c0622611
143b8492ba8
15230ed25dc
hex150beec00

5649656832 has 132 divisors (see below), whose sum is σ = 16392376000. Its totient is φ = 1874092032.

The previous prime is 5649656813. The next prime is 5649656833. The reversal of 5649656832 is 2386569465.

5649656832 is a `hidden beast` number, since 5 + 6 + 49 + 6 + 568 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (5649656833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2053794 + ... + 2056542.

Almost surely, 25649656832 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 5649656832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196188000).

5649656832 is an abundant number, since it is smaller than the sum of its proper divisors (10742719168).

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

5649656832 is a wasteful number, since it uses less digits than its factorization.

5649656832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2977 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 5649656832 is about 75164.1991376214. The cubic root of 5649656832 is about 1781.0414340768.

The spelling of 5649656832 in words is "five billion, six hundred forty-nine million, six hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 384 446 512 576 669 768 892 1024 1152 1338 1536 1784 2007 2304 2676 2749 3072 3568 4014 4608 5352 5498 7136 8028 8247 9216 10704 10996 14272 16056 16494 21408 21992 24741 28544 32112 32988 42816 43984 49482 57088 64224 65976 85632 87968 98964 114176 128448 131952 171264 175936 197928 228352 256896 263904 342528 351872 395856 513792 527808 613027 685056 703744 791712 1027584 1055616 1226054 1407488 1583424 1839081 2055168 2111232 2452108 2814976 3166848 3678162 4222464 4904216 5517243 6333696 7356324 8444928 9808432 11034486 12667392 14712648 19616864 22068972 25334784 29425296 39233728 44137944 58850592 78467456 88275888 117701184 156934912 176551776 235402368 313869824 353103552 470804736 627739648 706207104 941609472 1412414208 1883218944 2824828416 5649656832