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11177987076 = 22326722632
BaseRepresentation
bin10100110100100001…
…01000110000000100
31001212000100120121100
422122100220300010
5140343031041301
65045103020100
7544000215414
oct123220506004
931760316540
1011177987076
114816756153
1221bb59a630
131091a75249
147807a2644
154564eb286
hex29a428c04

11177987076 has 81 divisors (see below), whose sum is σ = 28792962471. Its totient is φ = 3656427984.

The previous prime is 11177987059. The next prime is 11177987077. The reversal of 11177987076 is 67078977111.

The square root of 11177987076 is 105726.

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

It is not an unprimeable number, because it can be changed into a prime (11177987077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42501721 + ... + 42501983.

Almost surely, 211177987076 is an apocalyptic number.

11177987076 is the 105726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11177987076

11177987076 is an abundant number, since it is smaller than the sum of its proper divisors (17614975395).

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

11177987076 is an equidigital number, since it uses as much as digits as its factorization.

11177987076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 54.

The spelling of 11177987076 in words is "eleven billion, one hundred seventy-seven million, nine hundred eighty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 263 268 402 526 603 789 804 1052 1206 1578 2367 2412 3156 4489 4734 8978 9468 13467 17621 17956 26934 35242 40401 52863 53868 69169 70484 80802 105726 138338 158589 161604 207507 211452 276676 317178 415014 622521 634356 830028 1180607 1245042 2361214 2490084 3541821 4634323 4722428 7083642 9268646 10625463 13902969 14167284 18537292 21250926 27805938 41708907 42501852 55611876 83417814 166835628 310499641 620999282 931498923 1241998564 1862997846 2794496769 3725995692 5588993538 11177987076