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618766304689 = 132605092
BaseRepresentation
bin10010000000100010101…
…10001000010110110001
32012011010212222002221001
421000101112020112301
540114213133222224
61152131325202001
762463414544411
oct11002126102661
92164125862831
10618766304689
112194654a2015
129bb07700301
1346470873a00
1421d3c788641
1511167644544
hex90115885b1

618766304689 has 9 divisors (see below), whose sum is σ = 670036125153. Its totient is φ = 571159457232.

The previous prime is 618766304633. The next prime is 618766304719. The reversal of 618766304689 is 986403667816.

The square root of 618766304689 is 786617.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28340039025 + 590426265664 = 168345^2 + 768392^2 .

It is not a de Polignac number, because 618766304689 - 219 = 618765780401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 618766304689.

It is not an unprimeable number, because it can be changed into a prime (618766304089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10195767 + ... + 10256275.

Almost surely, 2618766304689 is an apocalyptic number.

618766304689 is the 786617-th square number.

618766304689 is the 393309-th centered octagonal number.

It is an amenable number.

618766304689 is a deficient number, since it is larger than the sum of its proper divisors (51269820464).

618766304689 is an frugal number, since it uses more digits than its factorization.

618766304689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121044 (or 60522 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

Multiplying 618766304689 by its sum of digits (64), we get a square (39601043500096 = 62929362).

The spelling of 618766304689 in words is "six hundred eighteen billion, seven hundred sixty-six million, three hundred four thousand, six hundred eighty-nine".

Divisors: 1 13 169 60509 786617 10226021 3661339081 47597408053 618766304689