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13927696128 = 28326599173
BaseRepresentation
bin11001111100010011…
…11100011100000000
31022221122102021022100
430332021330130000
5212010442234003
610222010510400
71002066315033
oct147611743400
938848367270
1013927696128
1159a7904275
122848435400
13140c644818
14961a5501a
15567aeeba3
hex33e27c700

13927696128 has 108 divisors (see below), whose sum is σ = 40222302120. Its totient is φ = 4635015168.

The previous prime is 13927696099. The next prime is 13927696163. The reversal of 13927696128 is 82169672931.

13927696128 is a `hidden beast` number, since 13 + 9 + 2 + 7 + 6 + 9 + 612 + 8 = 666.

It is a congruent number.

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, 1513750 + ... + 1522922.

Almost surely, 213927696128 is an apocalyptic number.

13927696128 is a gapful number since it is divisible by the number (18) 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 13927696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20111151060).

13927696128 is an abundant number, since it is smaller than the sum of its proper divisors (26294605992).

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

13927696128 is an equidigital number, since it uses as much as digits as its factorization.

13927696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9854 (or 9837 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

It can be divided in two parts, 13927696 and 128, that added together give a square (13927824 = 37322).

The spelling of 13927696128 in words is "thirteen billion, nine hundred twenty-seven million, six hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 659 768 1152 1318 1977 2304 2636 3954 5272 5931 7908 9173 10544 11862 15816 18346 21088 23724 27519 31632 36692 42176 47448 55038 63264 73384 82557 84352 94896 110076 126528 146768 165114 168704 189792 220152 253056 293536 330228 379584 440304 506112 587072 660456 759168 880608 1174144 1320912 1518336 1761216 2348288 2641824 3522432 5283648 6045007 7044864 10567296 12090014 18135021 21134592 24180028 36270042 48360056 54405063 72540084 96720112 108810126 145080168 193440224 217620252 290160336 386880448 435240504 580320672 773760896 870481008 1160641344 1547521792 1740962016 2321282688 3481924032 4642565376 6963848064 13927696128