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676000000676 = 227111331952579
BaseRepresentation
bin10011101011001001011…
…11010110101010100100
32101121212121021002222002
421311210233112222210
542033422000010201
61234314454024432
766560624125010
oct11654457265244
92347777232862
10676000000676
11240765416a10
12ab01b048118
134b992171000
1424a0baa9540
15128b70b676b
hex9d64bd6aa4

676000000676 has 192 divisors, whose sum is σ = 1681886976000. Its totient is φ = 230316877440.

The previous prime is 676000000597. The next prime is 676000000699.

676000000676 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12830555 + ... + 12883133.

It is an arithmetic number, because the mean of its divisors is an integer number (8759828000).

Almost surely, 2676000000676 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 676000000676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840943488000).

676000000676 is an abundant number, since it is smaller than the sum of its proper divisors (1005886975324).

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

676000000676 is a wasteful number, since it uses less digits than its factorization.

676000000676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52659 (or 52631 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

It can be divided in two parts, 676000000 and 676, that multiplied together give a square (456976000000 = 6760002).

The spelling of 676000000676 in words is "six hundred seventy-six billion, six hundred seventy-six", and thus it is an aban number.