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6770405670912 = 221321341673
BaseRepresentation
bin110001010000101101110…
…1000000000000000000000
3212222020121012201121101100
41202201123220000000000
51341411242322432122
622222140442134400
71266100651445322
oct142413350000000
925866535647340
106770405670912
112180349551734
129141971b1400
133a15a5cbcc30
14195991949612
15bb1a9084aac
hex6285ba00000

6770405670912 has 528 divisors, whose sum is σ = 21609283936968. Its totient is φ = 2029372047360.

The previous prime is 6770405670901. The next prime is 6770405670947. The reversal of 6770405670912 is 2190765040776.

6770405670912 is a `hidden beast` number, since 6 + 7 + 70 + 4 + 0 + 567 + 0 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2238207492096 + 4532198178816 = 1496064^2 + 2128896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10060037808 + ... + 10060038480.

Almost surely, 26770405670912 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 6770405670912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10804641968484).

6770405670912 is an abundant number, since it is smaller than the sum of its proper divisors (14838878266056).

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

6770405670912 is an frugal number, since it uses more digits than its factorization.

6770405670912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 6770405670912 in words is "six trillion, seven hundred seventy billion, four hundred five million, six hundred seventy thousand, nine hundred twelve".