Search a number
-
+
12646160465360 = 245179298647401
BaseRepresentation
bin1011100000000110100111…
…1001101111110111010000
31122202221221122222202112212
42320001221321233313100
53124143314034342420
642521322123211252
72443440434234522
oct270015171576720
948687848882485
1012646160465360
11403622a997224
121502ab1676b28
137096b27bc906
1431a11268da12
1516de505083c5
hexb8069e6fdd0

12646160465360 has 40 divisors (see below), whose sum is σ = 31131871501896. Its totient is φ = 4760907468800.

The previous prime is 12646160465359. The next prime is 12646160465441. The reversal of 12646160465360 is 6356406164621.

It can be written as a sum of positive squares in 4 ways, for example, as 114022379584 + 12532138085776 = 337672^2 + 3540076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12646160465299 and 12646160465308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4649322341 + ... + 4649325060.

Almost surely, 212646160465360 is an apocalyptic number.

12646160465360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12646160465360 is an abundant number, since it is smaller than the sum of its proper divisors (18485711036536).

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

12646160465360 is a wasteful number, since it uses less digits than its factorization.

12646160465360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298647431 (or 9298647425 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 50.

The spelling of 12646160465360 in words is "twelve trillion, six hundred forty-six billion, one hundred sixty million, four hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9298647401 18597294802 37194589604 46493237005 74389179208 92986474010 148778358416 158077005817 185972948020 316154011634 371945896040 632308023268 743891792080 790385029085 1264616046536 1580770058170 2529232093072 3161540116340 6323080232680 12646160465360