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643012972 = 227192574703
BaseRepresentation
bin100110010100111…
…001100101101100
31122210221102222021
4212110321211230
52304102403342
6143445555524
721635343250
oct4624714554
91583842867
10643012972
112aaa67188
1215b415ba4
13a32a8964
1461582260
153b6b7567
hex2653996c

643012972 has 48 divisors (see below), whose sum is σ = 1359267840. Its totient is φ = 260001792.

The previous prime is 643012967. The next prime is 643012999. The reversal of 643012972 is 279210346.

643012972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134373 + ... + 139075.

It is an arithmetic number, because the mean of its divisors is an integer number (28318080).

Almost surely, 2643012972 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 643012972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679633920).

643012972 is an abundant number, since it is smaller than the sum of its proper divisors (716254868).

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

643012972 is a wasteful number, since it uses less digits than its factorization.

643012972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 643012972 is about 25357.7004477930. The cubic root of 643012972 is about 863.1241034125.

The spelling of 643012972 in words is "six hundred forty-three million, twelve thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 257 266 514 532 1028 1799 3598 4703 4883 7196 9406 9766 18812 19532 32921 34181 65842 68362 89357 131684 136724 178714 357428 625499 1208671 1250998 2417342 2501996 4834684 8460697 16921394 22964749 33842788 45929498 91858996 160753243 321506486 643012972