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11056566672 = 243282739281
BaseRepresentation
bin10100100110000010…
…11101000110010000
31001112112212210010100
422103001131012100
5140120440113142
65025044332400
7540664160154
oct122301350620
931475783110
1011056566672
114764164208
1221869a4100
131072871958
1476c5d7064
1544aa14b4c
hex29305d190

11056566672 has 60 divisors (see below), whose sum is σ = 30950105004. Its totient is φ = 3684679680.

The previous prime is 11056566667. The next prime is 11056566683. The reversal of 11056566672 is 27666565011.

It can be written as a sum of positive squares in 2 ways, for example, as 9197577216 + 1858989456 = 95904^2 + 43116^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1186672 + ... + 1195952.

Almost surely, 211056566672 is an apocalyptic number.

11056566672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11056566672 is an abundant number, since it is smaller than the sum of its proper divisors (19893538332).

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

11056566672 is a wasteful number, since it uses less digits than its factorization.

11056566672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17568 (or 17559 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 11056566672 in words is "eleven billion, fifty-six million, five hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8273 9281 16546 18562 24819 27843 33092 37124 49638 55686 66184 74248 74457 83529 99276 111372 132368 148496 148914 167058 198552 222744 297828 334116 397104 445488 595656 668232 1191312 1336464 76781713 153563426 230345139 307126852 460690278 614253704 691035417 921380556 1228507408 1382070834 1842761112 2764141668 3685522224 5528283336 11056566672