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6770220776 = 231141245767
BaseRepresentation
bin1100100111000100…
…10101111011101000
3122110211100211221122
412103202111323220
5102331134031101
63035445154412
7326525632664
oct62342257350
918424324848
106770220776
112964682090
12138b3bba08
1383b8232c7
144832258a4
1529957b51b
hex193895ee8

6770220776 has 48 divisors (see below), whose sum is σ = 14194487520. Its totient is φ = 3002249600.

The previous prime is 6770220739. The next prime is 6770220799.

6770220776 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 11 ways as a sum of consecutive naturals, for example, 125045 + ... + 170811.

It is an arithmetic number, because the mean of its divisors is an integer number (295718490).

Almost surely, 26770220776 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 6770220776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097243760).

6770220776 is an abundant number, since it is smaller than the sum of its proper divisors (7424266744).

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

6770220776 is a wasteful number, since it uses less digits than its factorization.

6770220776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45866 (or 45821 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 44.

The square root of 6770220776 is about 82281.3513258016. The cubic root of 6770220776 is about 1891.7668477140.

The spelling of 6770220776 in words is "six billion, seven hundred seventy million, two hundred twenty thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1681 1804 3362 3608 6724 13448 18491 36982 45767 73964 91534 147928 183068 366136 503437 1006874 1876447 2013748 3752894 4027496 7505788 15011576 20640917 41281834 76934327 82563668 153868654 165127336 307737308 615474616 846277597 1692555194 3385110388 6770220776