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12930380372448 = 253271117192378487
BaseRepresentation
bin1011110000101001011010…
…1110101001100111100000
31200210010120102220000022100
42330022112232221213200
53143322404333404243
643300045034210400
72503121610465330
oct274122656514740
950703512800270
1012930380372448
11413581a698120
121549bb2283a00
1372a43929c626
14329b95b450c0
1517653765e0d3
hexbc296ba99e0

12930380372448 has 1152 divisors, whose sum is σ = 53317790023680. Its totient is φ = 2864374824960.

The previous prime is 12930380372447. The next prime is 12930380372461. The reversal of 12930380372448 is 84427308303921.

It is a happy number.

12930380372448 is a `hidden beast` number, since 1 + 2 + 93 + 0 + 3 + 80 + 37 + 2 + 448 = 666.

12930380372448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12930380372394 and 12930380372403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12930380372447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164706261 + ... + 164784747.

It is an arithmetic number, because the mean of its divisors is an integer number (46282803840).

Almost surely, 212930380372448 is an apocalyptic number.

12930380372448 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 12930380372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658895011840).

12930380372448 is an abundant number, since it is smaller than the sum of its proper divisors (40387409651232).

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

12930380372448 is a wasteful number, since it uses less digits than its factorization.

12930380372448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78580 (or 78569 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 12930380372448 in words is "twelve trillion, nine hundred thirty billion, three hundred eighty million, three hundred seventy-two thousand, four hundred forty-eight".