Search a number
-
+
677054450776 = 231113075886611
BaseRepresentation
bin10011101101000111001…
…01110000110001011000
32101201121002101201120111
421312203211300301120
542043101414411101
61235011242334104
766626016606364
oct11664345606130
92351532351514
10677054450776
1124115664a980
12ab2741ba334
134bacc763c92
1424aabb4c2a4
1512929951251
hex9da3970c58

677054450776 has 32 divisors (see below), whose sum is σ = 1385943929280. Its totient is φ = 307516506400.

The previous prime is 677054450711. The next prime is 677054450819.

677054450776 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 677054450776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2828290 + ... + 3058321.

It is an arithmetic number, because the mean of its divisors is an integer number (43310747790).

Almost surely, 2677054450776 is an apocalyptic number.

It is an amenable number.

677054450776 is an abundant number, since it is smaller than the sum of its proper divisors (708889478504).

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

677054450776 is a wasteful number, since it uses less digits than its factorization.

677054450776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887935 (or 5887931 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 58.

The spelling of 677054450776 in words is "six hundred seventy-seven billion, fifty-four million, four hundred fifty thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 1307 2614 5228 10456 14377 28754 57508 115016 5886611 11773222 23546444 47092888 64752721 129505442 259010884 518021768 7693800577 15387601154 30775202308 61550404616 84631806347 169263612694 338527225388 677054450776