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110660014336 = 2817212232
BaseRepresentation
bin110011100001111011…
…0011101000100000000
3101120122002100011211111
41213003312131010000
53303112430424321
6122500404053104
710665154413334
oct1470366350400
9346562304744
10110660014336
1142a26769703
1219543994194
13a587179131
1454dab0d7c4
152d2a01c5e1
hex19c3d9d100

110660014336 has 81 divisors (see below), whose sum is σ = 234837495781. Its totient is φ = 52032720896.

The previous prime is 110660014307. The next prime is 110660014343. The reversal of 110660014336 is 633410066011.

The square root of 110660014336 is 332656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 86153990400 + 24506023936 = 293520^2 + 156544^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110660014298 and 110660014307.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90481821 + ... + 90483043.

Almost surely, 2110660014336 is an apocalyptic number.

110660014336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110660014336 is the 332656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110660014336

110660014336 is an abundant number, since it is smaller than the sum of its proper divisors (124177481445).

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

110660014336 is an frugal number, since it uses more digits than its factorization.

110660014336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 110660014336 in words is "one hundred ten billion, six hundred sixty million, fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 1223 2176 2312 2446 4352 4624 4892 9248 9784 18496 19568 20791 36992 39136 41582 73984 78272 83164 156544 166328 313088 332656 353447 665312 706894 1330624 1413788 1495729 2661248 2827576 2991458 5322496 5655152 5982916 11310304 11965832 22620608 23931664 25427393 45241216 47863328 50854786 90482432 95726656 101709572 191453312 203419144 382906624 406838288 432265681 813676576 864531362 1627353152 1729062724 3254706304 3458125448 6509412608 6916250896 13832501792 27665003584 55330007168 110660014336