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6690709434240 = 273551397109313
BaseRepresentation
bin110000101011100110101…
…0110111110111110000000
3212200121220001012022100000
41201113031112332332000
51334110033103343430
622121400335200000
71260250005556146
oct141271526767600
925617801168300
106690709434240
11214a57205a527
12900855076000
13396c14aa2b40
14191b91283596
15b90925b9e60
hex615cd5bef80

6690709434240 has 1536 divisors, whose sum is σ = 26391815049600. Its totient is φ = 1609851469824.

The previous prime is 6690709434223. The next prime is 6690709434251. The reversal of 6690709434240 is 424349070966.

6690709434240 is a `hidden beast` number, since 6 + 69 + 0 + 70 + 94 + 3 + 424 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21376068324 + ... + 21376068636.

Almost surely, 26690709434240 is an apocalyptic number.

6690709434240 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 6690709434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195907524800).

6690709434240 is an abundant number, since it is smaller than the sum of its proper divisors (19701105615360).

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

6690709434240 is a wasteful number, since it uses less digits than its factorization.

6690709434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6690709434240 in words is "six trillion, six hundred ninety billion, seven hundred nine million, four hundred thirty-four thousand, two hundred forty".