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5632323264 = 263244322073
BaseRepresentation
bin1010011111011011…
…00110111011000000
3112112112012200000100
411033231212323000
543013333321024
62330520122400
7256400646351
oct51755467300
915475180010
105632323264
112430332917
121112306400
136b9b63a79
143b605dd28
1522e70b7c9
hex14fb66ec0

5632323264 has 84 divisors (see below), whose sum is σ = 16181213256. Its totient is φ = 1873118208.

The previous prime is 5632323253. The next prime is 5632323289. The reversal of 5632323264 is 4623232365.

5632323264 is a `hidden beast` number, since 5 + 6 + 323 + 2 + 326 + 4 = 666.

It is a super-2 number, since 2×56323232642 = 63446130700391227392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244132 + ... + 266204.

Almost surely, 25632323264 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 5632323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090606628).

5632323264 is an abundant number, since it is smaller than the sum of its proper divisors (10548889992).

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

5632323264 is a wasteful number, since it uses less digits than its factorization.

5632323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22534 (or 22521 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 5632323264 is about 75048.8058799072. The cubic root of 5632323264 is about 1779.2181121782.

The spelling of 5632323264 in words is "five billion, six hundred thirty-two million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 443 576 886 1329 1772 2658 3544 3987 5316 7088 7974 10632 14176 15948 21264 22073 28352 31896 42528 44146 63792 66219 85056 88292 127584 132438 176584 198657 255168 264876 353168 397314 529752 706336 794628 1059504 1412672 1589256 2119008 3178512 4238016 6357024 9778339 12714048 19556678 29335017 39113356 58670034 78226712 88005051 117340068 156453424 176010102 234680136 312906848 352020204 469360272 625813696 704040408 938720544 1408080816 1877441088 2816161632 5632323264