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12980274048 = 2732722271013
BaseRepresentation
bin11000001011010111…
…10100001110000000
31020111121200020112200
430011223310032000
5203040422232143
65544004153200
7636443336400
oct140553641600
936447606480
1012980274048
115561032015
122623098800
1312bb286241
148b1cb2800
1550e8571d3
hex305af4380

12980274048 has 288 divisors, whose sum is σ = 43684884360. Its totient is φ = 3688667136.

The previous prime is 12980274037. The next prime is 12980274049. The reversal of 12980274048 is 84047208921.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×129802740482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12980273994 and 12980274012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12980274049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12813190 + ... + 12814202.

Almost surely, 212980274048 is an apocalyptic number.

12980274048 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 12980274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21842442180).

12980274048 is an abundant number, since it is smaller than the sum of its proper divisors (30704610312).

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

12980274048 is a wasteful number, since it uses less digits than its factorization.

12980274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12980274048 in words is "twelve billion, nine hundred eighty million, two hundred seventy-four thousand, forty-eight".