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673401104376 = 2337111337757577
BaseRepresentation
bin10011100110010011101…
…01010110011111111000
32101101011110222111110120
421303021311112133320
542013111140320001
61233204534413240
766436335641610
oct11631165263770
92341143874416
10673401104376
1123a651405730
12aa614801220
134b6698c6550
1424842873a40
15127b3d53236
hex9cc9d567f8

673401104376 has 256 divisors, whose sum is σ = 2321461416960. Its totient is φ = 157090959360.

The previous prime is 673401104359. The next prime is 673401104423.

673401104376 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510100 + ... + 1267676.

It is an arithmetic number, because the mean of its divisors is an integer number (9068208660).

Almost surely, 2673401104376 is an apocalyptic number.

673401104376 is a gapful number since it is divisible by the number (66) 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 673401104376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160730708480).

673401104376 is an abundant number, since it is smaller than the sum of its proper divisors (1648060312584).

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

673401104376 is a wasteful number, since it uses less digits than its factorization.

673401104376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757654 (or 757650 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

It can be divided in two parts, 673401 and 104376, that added together give a palindrome (777777).

The spelling of 673401104376 in words is "six hundred seventy-three billion, four hundred one million, one hundred four thousand, three hundred seventy-six".