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12509743648 = 2510111334253
BaseRepresentation
bin10111010011010001…
…11000101000100000
31012021211021211011211
423221220320220200
5201104443244043
65425155115504
7622001031553
oct135150705040
935254254154
1012509743648
11533a473616
1225115a2b94
13124494b89c
148695cc69a
154d33b0a9d
hex2e9a38a20

12509743648 has 48 divisors (see below), whose sum is σ = 25093247256. Its totient is φ = 6137958400.

The previous prime is 12509743633. The next prime is 12509743651. The reversal of 12509743648 is 84634790521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8624465424 + 3885278224 = 92868^2 + 62332^2 .

It is a super-2 number, since 2×125097436482 (a number of 21 digits) contains 22 as substring.

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, 348090 + ... + 382342.

It is a 1-persistent number, because it is pandigital, but 2⋅12509743648 = 25019487296 is not.

Almost surely, 212509743648 is an apocalyptic number.

It is an amenable number.

12509743648 is an abundant number, since it is smaller than the sum of its proper divisors (12583503608).

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

12509743648 is a wasteful number, since it uses less digits than its factorization.

12509743648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34477 (or 34469 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 12509743648 in words is "twelve billion, five hundred nine million, seven hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 101 113 202 226 404 452 808 904 1616 1808 3232 3616 11413 22826 34253 45652 68506 91304 137012 182608 274024 365216 548048 1096096 3459553 3870589 6919106 7741178 13838212 15482356 27676424 30964712 55352848 61929424 110705696 123858848 390929489 781858978 1563717956 3127435912 6254871824 12509743648