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6683144348608 = 26731323158111
BaseRepresentation
bin110000101000000101001…
…1100011110001111000000
3212122220100211011010210021
41201100022130132033000
51333444034423123413
622114105533143224
71256561355445000
oct141201234361700
925586324133707
106683144348608
11214733a834742
128bb2a362ab14
133962aa6a7100
1419167466c000
15b8c9d37d18d
hex6140a71e3c0

6683144348608 has 336 divisors, whose sum is σ = 17287436697600. Its totient is φ = 2558550758400.

The previous prime is 6683144348561. The next prime is 6683144348633. The reversal of 6683144348608 is 8068434413866.

It is a happy number.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114977473 + ... + 115035583.

Almost surely, 26683144348608 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 6683144348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8643718348800).

6683144348608 is an abundant number, since it is smaller than the sum of its proper divisors (10604292348992).

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

6683144348608 is a wasteful number, since it uses less digits than its factorization.

6683144348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58201 (or 58164 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 61.

The spelling of 6683144348608 in words is "six trillion, six hundred eighty-three billion, one hundred forty-four million, three hundred forty-eight thousand, six hundred eight".