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670283815104 = 263217611378191
BaseRepresentation
bin10011100000100000000…
…01110101100011000000
32101002010020020210111100
421300100001311203000
541440220124040404
61231531340214400
766266154264651
oct11602001654300
92332106223440
10670283815104
112392a1815102
12a9aa483a400
134b290b26b97
1424628859528
1512680341d39
hex9c100758c0

670283815104 has 336 divisors, whose sum is σ = 2082956967936. Its totient is φ = 205302988800.

The previous prime is 670283815093. The next prime is 670283815129. The reversal of 670283815104 is 401518382076.

It is a self number, because there is not a number n which added to its sum of digits gives 670283815104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81827649 + ... + 81835839.

Almost surely, 2670283815104 is an apocalyptic number.

670283815104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670283815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041478483968).

670283815104 is an abundant number, since it is smaller than the sum of its proper divisors (1412673152832).

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

670283815104 is a wasteful number, since it uses less digits than its factorization.

670283815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 670283815104 in words is "six hundred seventy billion, two hundred eighty-three million, eight hundred fifteen thousand, one hundred four".