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6808530410352 = 2436111971139283
BaseRepresentation
bin110001100010011110000…
…0010010101101101110000
3220002220000012011001000000
41203010330002111231300
51343022332241112402
622251443511430000
71301620505415216
oct143047402255560
926086005131000
106808530410352
112195532a11760
1291b657085300
133a50706c1358
1419776b04ccb6
15bc18b0e8c1c
hex6313c095b70

6808530410352 has 1120 divisors, whose sum is σ = 23279410022400. Its totient is φ = 1906448140800.

The previous prime is 6808530410351. The next prime is 6808530410377. The reversal of 6808530410352 is 2530140358086.

6808530410352 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 530 + 4 + 103 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6808530410298 and 6808530410307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6808530410351) 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 223 ways as a sum of consecutive naturals, for example, 24058411203 + ... + 24058411485.

It is an arithmetic number, because the mean of its divisors is an integer number (20785187520).

Almost surely, 26808530410352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6808530410352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639705011200).

6808530410352 is an abundant number, since it is smaller than the sum of its proper divisors (16470879612048).

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

6808530410352 is a wasteful number, since it uses less digits than its factorization.

6808530410352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 6808530410352 in words is "six trillion, eight hundred eight billion, five hundred thirty million, four hundred ten thousand, three hundred fifty-two".