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10727987776 = 261141072
BaseRepresentation
bin10011111110111000…
…00001101001000000
31000200122121020121121
421333130001221000
5133432331102101
64532310002024
7526564251202
oct117734015100
930618536547
1010727987776
114605740000
1220b4946314
13101c77897c
1473ab04772
1542bc5d0a1
hex27f701a40

10727987776 has 105 divisors (see below), whose sum is σ = 23637936595. Its totient is φ = 4830784640.

The previous prime is 10727987771. The next prime is 10727987783. The reversal of 10727987776 is 67778972701.

The square root of 10727987776 is 103576.

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

It is a super-3 number, since 3×107279877763 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10727987771) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 100261515 + ... + 100261621.

Almost surely, 210727987776 is an apocalyptic number.

10727987776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10727987776 is the 103576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10727987776

10727987776 is an abundant number, since it is smaller than the sum of its proper divisors (12909948819).

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

10727987776 is an frugal number, since it uses more digits than its factorization.

10727987776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 14521248, while the sum is 61.

The spelling of 10727987776 in words is "ten billion, seven hundred twenty-seven million, nine hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 121 176 214 242 352 428 484 704 856 968 1177 1331 1712 1936 2354 2662 3424 3872 4708 5324 6848 7744 9416 10648 11449 12947 14641 18832 21296 22898 25894 29282 37664 42592 45796 51788 58564 75328 85184 91592 103576 117128 125939 142417 183184 207152 234256 251878 284834 366368 414304 468512 503756 569668 732736 828608 937024 1007512 1139336 1385329 1566587 2015024 2278672 2770658 3133174 4030048 4557344 5541316 6266348 8060096 9114688 11082632 12532696 15238619 22165264 25065392 30477238 44330528 50130784 60954476 88661056 100261568 121908952 167624809 243817904 335249618 487635808 670499236 975271616 1340998472 2681996944 5363993888 10727987776