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1426626690048 = 2103273141127137
BaseRepresentation
bin10100110000101001100…
…100111011110000000000
312001101101001210210112100
4110300221210323300000
5141333212413040143
63011214441030400
7205033065533010
oct24605144736000
95041331723470
101426626690048
1150003563565a
121b05a6485400
13a46b815c681
144d098a33c40
152719aa546d3
hex14c2993bc00

1426626690048 has 1056 divisors, whose sum is σ = 5054049681408. Its totient is φ = 379020902400.

The previous prime is 1426626689897. The next prime is 1426626690077. The reversal of 1426626690048 is 8400966266241.

1426626690048 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 626 + 6 + 9 + 0 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1426626689976 and 1426626690003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10413333436 + ... + 10413333572.

Almost surely, 21426626690048 is an apocalyptic number.

1426626690048 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 1426626690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527024840704).

1426626690048 is an abundant number, since it is smaller than the sum of its proper divisors (3627422991360).

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

1426626690048 is a wasteful number, since it uses less digits than its factorization.

1426626690048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1426626690048 in words is "one trillion, four hundred twenty-six billion, six hundred twenty-six million, six hundred ninety thousand, forty-eight".