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6452787968 = 28113137321
BaseRepresentation
bin1100000001001110…
…11011101100000000
3121122201001120222222
412000213123230000
5101203403203333
62544145350212
7315622535624
oct60047335400
917581046888
106452787968
112811481120
121301038368
137bab30743
14452dd5184
1527b777298
hex1809dbb00

6452787968 has 72 divisors (see below), whose sum is σ = 14098130256. Its totient is φ = 2923315200.

The previous prime is 6452787959. The next prime is 6452787973. The reversal of 6452787968 is 8697872546.

It is a self number, because there is not a number n which added to its sum of digits gives 6452787968.

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 7 ways as a sum of consecutive naturals, for example, 877748 + ... + 885068.

Almost surely, 26452787968 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 6452787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049065128).

6452787968 is an abundant number, since it is smaller than the sum of its proper divisors (7645342288).

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

6452787968 is a wasteful number, since it uses less digits than its factorization.

6452787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7647 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 62.

The square root of 6452787968 is about 80329.2472764435. The cubic root of 6452787968 is about 1861.7261472210.

The spelling of 6452787968 in words is "six billion, four hundred fifty-two million, seven hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 313 352 626 704 1252 1408 2504 2816 3443 5008 6886 7321 10016 13772 14642 20032 27544 29284 40064 55088 58568 80128 80531 110176 117136 161062 220352 234272 322124 440704 468544 644248 881408 937088 1288496 1874176 2291473 2576992 4582946 5153984 9165892 10307968 18331784 20615936 25206203 36663568 50412406 73327136 100824812 146654272 201649624 293308544 403299248 586617088 806598496 1613196992 3226393984 6452787968