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681549346368 = 26331167737331
BaseRepresentation
bin10011110101011111000…
…00011011011001000000
32102011012100100002011000
421322233200123121000
542131303113040433
61241033251452000
7100145266600302
oct11725740333100
92364170302130
10681549346368
11243052924520
12b01095b7000
134c367a71307
1424db6ac9972
1512ade382113
hex9eaf81b640

681549346368 has 448 divisors, whose sum is σ = 2249096279040. Its totient is φ = 200633241600.

The previous prime is 681549346367. The next prime is 681549346393. The reversal of 681549346368 is 863643945186.

681549346368 is a `hidden beast` number, since 6 + 81 + 5 + 4 + 93 + 463 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (681549346367) 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 63 ways as a sum of consecutive naturals, for example, 92964463 + ... + 92971793.

Almost surely, 2681549346368 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 681549346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124548139520).

681549346368 is an abundant number, since it is smaller than the sum of its proper divisors (1567546932672).

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

681549346368 is a wasteful number, since it uses less digits than its factorization.

681549346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7487 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 681549346368 in words is "six hundred eighty-one billion, five hundred forty-nine million, three hundred forty-six thousand, three hundred sixty-eight".