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6980239581408 = 2533414322920011
BaseRepresentation
bin110010110010011011010…
…1100110110000011100000
3220201022012220020201001000
41211210312230312003200
51403331012313101113
622502402223112000
71320206562323322
oct145446654660340
926638186221030
106980239581408
1122513372a6395
12948998142600
133b8306786152
141a1bb9ab7612
15c188aa0a373
hex65936b360e0

6980239581408 has 384 divisors, whose sum is σ = 21434869209600. Its totient is φ = 2207413555200.

The previous prime is 6980239581391. The next prime is 6980239581409. The reversal of 6980239581408 is 8041859320896.

6980239581408 is a `hidden beast` number, since 6 + 9 + 8 + 0 + 2 + 3 + 9 + 581 + 40 + 8 = 666.

It is a super-2 number, since 2×69802395814082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6980239581409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348810123 + ... + 348830133.

It is an arithmetic number, because the mean of its divisors is an integer number (55819971900).

Almost surely, 26980239581408 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 6980239581408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10717434604800).

6980239581408 is an abundant number, since it is smaller than the sum of its proper divisors (14454629628192).

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

6980239581408 is a wasteful number, since it uses less digits than its factorization.

6980239581408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20343 (or 20329 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 6980239581408 in words is "six trillion, nine hundred eighty billion, two hundred thirty-nine million, five hundred eighty-one thousand, four hundred eight".