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348982057984 = 21072171961353
BaseRepresentation
bin1010001010000001111…
…00111001110000000000
31020100210011022101102211
411011000330321300000
521204203401323414
6424153052351504
734133046356200
oct5050074716000
91210704271384
10348982057984
1112500330145a
1257775475594
1326ba7a1b981
1412c685b4400
1591279cb3c4
hex5140f39c00

348982057984 has 528 divisors, whose sum is σ = 921913449120. Its totient is φ = 130799370240.

The previous prime is 348982057969. The next prime is 348982057993. The reversal of 348982057984 is 489750289843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988617552 + ... + 988617904.

Almost surely, 2348982057984 is an apocalyptic number.

348982057984 is a gapful number since it is divisible by the number (34) 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 348982057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460956724560).

348982057984 is an abundant number, since it is smaller than the sum of its proper divisors (572931391136).

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

348982057984 is a wasteful number, since it uses less digits than its factorization.

348982057984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 67.

The spelling of 348982057984 in words is "three hundred forty-eight billion, nine hundred eighty-two million, fifty-seven thousand, nine hundred eighty-four".