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676334101433676 = 2237193713913823201
BaseRepresentation
bin1001100111000111110100110…
…1110111011000110101001100
310021200200220112101211211211020
42121301331031313120311030
51202122024214431334201
610354235332532154140
7262313345345615340
oct23161751567306514
93250626471754736
10676334101433676
111865567552a1654
1263a320b6168950
13230500556b1a2a
14bd02a60a69620
15532d007043a36
hex2671f4ddd8d4c

676334101433676 has 192 divisors, whose sum is σ = 1949934514590720. Its totient is φ = 178107077836800.

The previous prime is 676334101433659. The next prime is 676334101433693.

676334101433676 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (676334101433659) and next prime (676334101433693).

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, 821178876 + ... + 822002076.

It is an arithmetic number, because the mean of its divisors is an integer number (10155908930160).

Almost surely, 2676334101433676 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 676334101433676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974967257295360).

676334101433676 is an abundant number, since it is smaller than the sum of its proper divisors (1273600413157044).

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

676334101433676 is a wasteful number, since it uses less digits than its factorization.

676334101433676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837184 (or 837182 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 60.

The spelling of 676334101433676 in words is "six hundred seventy-six trillion, three hundred thirty-four billion, one hundred one million, four hundred thirty-three thousand, six hundred seventy-six".