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67773270889 = 2924721912
BaseRepresentation
bin111111000111100110…
…100000101101101001
320110221020100212210001
4333013212200231221
52102244424132024
651045024223001
74616325204022
oct770746405551
9213836325701
1067773270889
1126819276585
121117516aa61
136511017a6c
1433ccdbbc49
151b69db4244
hexfc79a0b69

67773270889 has 27 divisors (see below), whose sum is σ = 72093507031. Its totient is φ = 63708691760.

The previous prime is 67773270857. The next prime is 67773270893. The reversal of 67773270889 is 98807237776.

The square root of 67773270889 is 260333.

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

It can be written as a sum of positive squares in only one way, i.e., 35538659289 + 32234611600 = 188517^2 + 179540^2 .

It is not a de Polignac number, because 67773270889 - 25 = 67773270857 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 67773270889.

It is not an unprimeable number, because it can be changed into a prime (67773270809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 354833784 + ... + 354833974.

Almost surely, 267773270889 is an apocalyptic number.

67773270889 is the 260333-rd square number.

67773270889 is the 130167-th centered octagonal number.

It is an amenable number.

67773270889 is a deficient number, since it is larger than the sum of its proper divisors (4320236142).

67773270889 is an frugal number, since it uses more digits than its factorization.

67773270889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 64.

Multiplying 67773270889 by its sum of digits (64), we get a square (4337489336896 = 20826642).

The spelling of 67773270889 in words is "sixty-seven billion, seven hundred seventy-three million, two hundred seventy thousand, eight hundred eighty-nine".

Divisors: 1 29 47 191 841 1363 2209 5539 8977 36481 39527 64061 160631 260333 421919 1057949 1714607 1857769 7549657 12235651 30680521 49723603 80586529 354833879 1441984487 2337009341 67773270889