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5538328096 = 257247223337
BaseRepresentation
bin1010010100001110…
…00010111000100000
3112021222100012212211
411022013002320200
542320302444341
62313321331504
7254150004100
oct51207027040
915258305784
105538328096
112392272964
1210a6936b94
136a3543522
143a7793200
15226341181
hex14a1c2e20

5538328096 has 144 divisors (see below), whose sum is σ = 13050326016. Its totient is φ = 2305787904.

The previous prime is 5538328087. The next prime is 5538328097. The reversal of 5538328096 is 6908238355.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5538328097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16434040 + ... + 16434376.

It is an arithmetic number, because the mean of its divisors is an integer number (90627264).

Almost surely, 25538328096 is an apocalyptic number.

5538328096 is a gapful number since it is divisible by the number (56) 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 5538328096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525163008).

5538328096 is an abundant number, since it is smaller than the sum of its proper divisors (7511997920).

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

5538328096 is a wasteful number, since it uses less digits than its factorization.

5538328096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The square root of 5538328096 is about 74419.9442085252. The cubic root of 5538328096 is about 1769.2650289964.

The spelling of 5538328096 in words is "five billion, five hundred thirty-eight million, three hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 223 224 329 337 376 392 446 658 674 752 784 892 1316 1348 1504 1561 1568 1784 2303 2359 2632 2696 3122 3568 4606 4718 5264 5392 6244 7136 9212 9436 10481 10528 10784 10927 12488 15839 16513 18424 18872 20962 21854 24976 31678 33026 36848 37744 41924 43708 49952 63356 66052 73367 73696 75151 75488 83848 87416 110873 126712 132104 146734 150302 167696 174832 221746 253424 264208 293468 300604 335392 349664 443492 506848 513569 526057 528416 586936 601208 776111 886984 1027138 1052114 1173872 1202416 1552222 1773968 2054276 2104228 2347744 2404832 3104444 3532097 3547936 3682399 4108552 4208456 6208888 7064194 7364798 8217104 8416912 12417776 14128388 14729596 16434208 16833824 24724679 24835552 28256776 29459192 49449358 56513552 58918384 98898716 113027104 117836768 173072753 197797432 346145506 395594864 692291012 791189728 1384582024 2769164048 5538328096