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5500272384 = 28334716931
BaseRepresentation
bin1010001111101011…
…10111111100000000
3112012022201210021000
411013311313330000
542231032204014
62305441532000
7253205354355
oct50765677400
915168653230
105500272384
112372840062
121096044000
136986aa959
143a26c862c
15222d25509
hex147d77f00

5500272384 has 144 divisors (see below), whose sum is σ = 16612323840. Its totient is φ = 1794309120.

The previous prime is 5500272331. The next prime is 5500272391. The reversal of 5500272384 is 4832720055.

5500272384 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 272 + 384 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316399 + ... + 333329.

It is an arithmetic number, because the mean of its divisors is an integer number (115363360).

Almost surely, 25500272384 is an apocalyptic number.

5500272384 is a gapful number since it is divisible by the number (54) 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 5500272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306161920).

5500272384 is an abundant number, since it is smaller than the sum of its proper divisors (11112051456).

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

5500272384 is a wasteful number, since it uses less digits than its factorization.

5500272384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17003 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5500272384 is about 74163.8212607738. The cubic root of 5500272384 is about 1765.2033068911.

The spelling of 5500272384 in words is "five billion, five hundred million, two hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 564 576 752 768 846 864 1128 1152 1269 1504 1692 1728 2256 2304 2538 3008 3384 3456 4512 5076 6016 6768 6912 9024 10152 12032 13536 16931 18048 20304 27072 33862 36096 40608 50793 54144 67724 81216 101586 108288 135448 152379 162432 203172 270896 304758 324864 406344 457137 541792 609516 795757 812688 914274 1083584 1219032 1591514 1625376 1828548 2167168 2387271 2438064 3183028 3250752 3657096 4334336 4774542 4876128 6366056 6501504 7161813 7314192 9549084 9752256 12732112 13003008 14323626 14628384 19098168 19504512 21485439 25464224 28647252 29256768 38196336 39009024 42970878 50928448 57294504 58513536 76392672 85941756 101856896 114589008 117027072 152785344 171883512 203713792 229178016 305570688 343767024 458356032 611141376 687534048 916712064 1375068096 1833424128 2750136192 5500272384