Search a number
-
+
11006661446616 = 23311147232831753
BaseRepresentation
bin1010000000101011000000…
…1001010100101111011000
31102222020010011100020011110
42200022300021110233120
52420313120312242431
635224220201300320
72214130221431433
oct240126011245730
942866104306143
1011006661446616
1135639984973a0
1212991b87946a0
1361ac01550c44
142a0a2216481a
151414963eb346
hexa02b0254bd8

11006661446616 has 64 divisors (see below), whose sum is σ = 30020217045120. Its totient is φ = 3335124235520.

The previous prime is 11006661446597. The next prime is 11006661446629. The reversal of 11006661446616 is 61664416660011.

It is a super-2 number, since 2×110066614466162 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2470996 + ... + 5302748.

It is an arithmetic number, because the mean of its divisors is an integer number (469065891330).

Almost surely, 211006661446616 is an apocalyptic number.

It is an amenable number.

11006661446616 is an abundant number, since it is smaller than the sum of its proper divisors (19013555598504).

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

11006661446616 is a wasteful number, since it uses less digits than its factorization.

11006661446616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846496 (or 2846492 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 11006661446616 in words is "eleven trillion, six billion, six hundred sixty-one million, four hundred forty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 14723 29446 44169 58892 88338 117784 161953 176676 323906 353352 485859 647812 971718 1295624 1943436 2831753 3886872 5663506 8495259 11327012 16990518 22654024 31149283 33981036 62298566 67962072 93447849 124597132 186895698 249194264 373791396 747582792 41691899419 83383798838 125075698257 166767597676 250151396514 333535195352 458610893609 500302793028 917221787218 1000605586056 1375832680827 1834443574436 2751665361654 3668887148872 5503330723308 11006661446616