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14825610128 = 2472311075701
BaseRepresentation
bin11011100111010110…
…01101101110010000
31102021020000000202102
431303223031232100
5220330324011003
610451044135532
71033251415100
oct156353155620
942236000672
1014825610128
11631874135a
122a590975a8
13152368a894
14a08dcb200
155bb868588
hex373acdb90

14825610128 has 120 divisors (see below), whose sum is σ = 34820699904. Its totient is φ = 6090336000.

The previous prime is 14825610091. The next prime is 14825610167. The reversal of 14825610128 is 82101652841.

It is a junction number, because it is equal to n+sod(n) for n = 14825610091 and 14825610100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2597678 + ... + 2603378.

Almost surely, 214825610128 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 14825610128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410349952).

14825610128 is an abundant number, since it is smaller than the sum of its proper divisors (19995089776).

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

14825610128 is a wasteful number, since it uses less digits than its factorization.

14825610128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 14825610128 in words is "fourteen billion, eight hundred twenty-five million, six hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 107 112 124 196 214 217 248 392 428 434 496 749 784 856 868 1498 1519 1712 1736 2996 3038 3317 3472 5243 5701 5992 6076 6634 10486 11402 11984 12152 13268 20972 22804 23219 24304 26536 39907 41944 45608 46438 53072 79814 83888 91216 92876 159628 162533 176731 185752 279349 319256 325066 353462 371504 558698 610007 638512 650132 706924 1117396 1220014 1237117 1300264 1413848 2234792 2440028 2474234 2600528 2827696 4270049 4469584 4880056 4948468 8540098 8659819 9760112 9896936 17080196 17319638 18910217 19793872 29890343 34160392 34639276 37820434 59780686 68320784 69278552 75640868 119561372 132371519 138557104 151281736 239122744 264743038 302563472 478245488 529486076 926600633 1058972152 1853201266 2117944304 3706402532 7412805064 14825610128