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6800949756000 = 2533531719231331
BaseRepresentation
bin110001011110111100000…
…1100011100000001100000
3220002011102212210220012000
41202331320030130001200
51342411321114143000
622244151352004000
71301231606052141
oct142757014340140
926064385726160
106800949756000
1121922a2922964
1291a0a0390600
133a443300416a
1419724c343ac8
15bbd95834000
hex62f7831c060

6800949756000 has 2304 divisors, whose sum is σ = 28642484183040. Its totient is φ = 1560176640000.

The previous prime is 6800949755993. The next prime is 6800949756011. The reversal of 6800949756000 is 6579490086.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20546675835 + ... + 20546676165.

It is an arithmetic number, because the mean of its divisors is an integer number (12431633760).

Almost surely, 26800949756000 is an apocalyptic number.

6800949756000 is a gapful number since it is divisible by the number (60) 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 6800949756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321242091520).

6800949756000 is an abundant number, since it is smaller than the sum of its proper divisors (21841534427040).

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

6800949756000 is a wasteful number, since it uses less digits than its factorization.

6800949756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6800949756000 in words is "six trillion, eight hundred billion, nine hundred forty-nine million, seven hundred fifty-six thousand".