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1243928378880 = 293451123131181
BaseRepresentation
bin10010000110011111111…
…010001011111000000000
311101220210111200222020000
4102012133322023320000
5130340031131111010
62351241450120000
7155604463522335
oct22063772137000
94356714628200
101243928378880
1143a602160350
121810b9120000
13903c04a32c5
14442c672498c
15225564eb7c0
hex1219fe8be00

1243928378880 has 1600 divisors, whose sum is σ = 5138662104576. Its totient is φ = 284663808000.

The previous prime is 1243928378839. The next prime is 1243928378887. The reversal of 1243928378880 is 888738293421.

1243928378880 is a `hidden beast` number, since 1 + 24 + 392 + 83 + 78 + 8 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243928378887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6872532390 + ... + 6872532570.

Almost surely, 21243928378880 is an apocalyptic number.

1243928378880 is a gapful number since it is divisible by the number (10) 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 1243928378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569331052288).

1243928378880 is an abundant number, since it is smaller than the sum of its proper divisors (3894733725696).

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

1243928378880 is a wasteful number, since it uses less digits than its factorization.

1243928378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 1243928378880 in words is "one trillion, two hundred forty-three billion, nine hundred twenty-eight million, three hundred seventy-eight thousand, eight hundred eighty".