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679672276976 = 247112197933413
BaseRepresentation
bin10011110001111111001…
…11111110011111110000
32101222100112022002000102
421320333213332133300
542113432100330401
61240123115411532
7100050625013630
oct11707747763760
92358315262012
10679672276976
1124227a310500
12ab884a53ba8
134c128c08a74
1424c796b06c0
1512a2e6a356b
hex9e3f9fe7f0

679672276976 has 240 divisors, whose sum is σ = 1763403801600. Its totient is φ = 247687165440.

The previous prime is 679672276937. The next prime is 679672276999.

679672276976 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20324846 + ... + 20358258.

It is an arithmetic number, because the mean of its divisors is an integer number (7347515840).

Almost surely, 2679672276976 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 679672276976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881701900800).

679672276976 is an abundant number, since it is smaller than the sum of its proper divisors (1083731524624).

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

679672276976 is a wasteful number, since it uses less digits than its factorization.

679672276976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33548 (or 33531 counting only the distinct ones).

The product of its digits is 1008189504, while the sum is 74.

The spelling of 679672276976 in words is "six hundred seventy-nine billion, six hundred seventy-two million, two hundred seventy-six thousand, nine hundred seventy-six".