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673919664 = 2431121931197
BaseRepresentation
bin101000001010110…
…011001010110000
31201222002122222120
4220022303022300
52340010412124
6150512234240
722462136235
oct5012631260
91658078876
10673919664
11316456900
1216983b980
13a980a542
146570978c
153e26ed79
hex282b32b0

673919664 has 240 divisors, whose sum is σ = 2089866240. Its totient is φ = 186278400.

The previous prime is 673919657. The next prime is 673919681. The reversal of 673919664 is 466919376.

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, 3420814 + ... + 3421010.

It is an arithmetic number, because the mean of its divisors is an integer number (8707776).

Almost surely, 2673919664 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 673919664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044933120).

673919664 is an abundant number, since it is smaller than the sum of its proper divisors (1415946576).

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

673919664 is a wasteful number, since it uses less digits than its factorization.

673919664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 673919664 is about 25959.9627118376. The cubic root of 673919664 is about 876.7370831809.

The spelling of 673919664 in words is "six hundred seventy-three million, nine hundred nineteen thousand, six hundred sixty-four".