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13146378035060 = 2252932243409221
BaseRepresentation
bin1011111101001110000100…
…1100010101111101110100
31201112210002200121011022102
42333103201030111331310
53210342240234110220
643543210201521232
72524536334356164
oct277234114257564
951483080534272
1013146378035060
114209390747a96
121583a334a3218
1374490ca36b4a
1433640674a5a4
1517be7a2b6775
hexbf4e1315f74

13146378035060 has 24 divisors (see below), whose sum is σ = 27701617073256. Its totient is φ = 5240603937920.

The previous prime is 13146378035027. The next prime is 13146378035071. The reversal of 13146378035060 is 6053087364131.

It can be written as a sum of positive squares in 4 ways, for example, as 1552979546596 + 11593398488464 = 1246186^2 + 3404908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13146378034996 and 13146378035014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121698751 + ... + 1121710470.

It is an arithmetic number, because the mean of its divisors is an integer number (1154234044719).

Almost surely, 213146378035060 is an apocalyptic number.

13146378035060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13146378035060 is an abundant number, since it is smaller than the sum of its proper divisors (14555239038196).

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

13146378035060 is a wasteful number, since it uses less digits than its factorization.

13146378035060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243409523 (or 2243409521 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 13146378035060 in words is "thirteen trillion, one hundred forty-six billion, three hundred seventy-eight million, thirty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 2243409221 4486818442 8973636884 11217046105 22434092210 44868184420 657318901753 1314637803506 2629275607012 3286594508765 6573189017530 13146378035060