Search a number
-
+
67045482720 = 2532546559363
BaseRepresentation
bin111110011100001110…
…001110000011100000
320102001111220102002200
4332130032032003200
52044302120421340
650444505213200
74562310125436
oct763416160340
9212044812080
1067045482720
1126485477557
1210bb1491200
1364262c9388
14336048cd56
151b26053330
hexf9c38e0e0

67045482720 has 72 divisors (see below), whose sum is σ = 228792714696. Its totient is φ = 17878795008.

The previous prime is 67045482709. The next prime is 67045482769. The reversal of 67045482720 is 2728454076.

It is a happy number.

67045482720 is a `hidden beast` number, since 67 + 0 + 4 + 548 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23278242 + ... + 23281121.

It is an arithmetic number, because the mean of its divisors is an integer number (3177676593).

Almost surely, 267045482720 is an apocalyptic number.

67045482720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67045482720 is an abundant number, since it is smaller than the sum of its proper divisors (161747231976).

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

67045482720 is a wasteful number, since it uses less digits than its factorization.

67045482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46559384 (or 46559373 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 67045482720 in words is "sixty-seven billion, forty-five million, four hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 46559363 93118726 139678089 186237452 232796815 279356178 372474904 419034267 465593630 558712356 698390445 744949808 838068534 931187260 1117424712 1396780890 1489899616 1676137068 1862374520 2095171335 2234849424 2793561780 3352274136 3724749040 4190342670 4469698848 5587123560 6704548272 7449498080 8380685340 11174247120 13409096544 16761370680 22348494240 33522741360 67045482720