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11959390881 = 342924192
BaseRepresentation
bin10110010001101010…
…11101001010100001
31010212110201000010000
423020311131022201
5143443101002011
65254415130213
7602236100544
oct131065351241
933773630100
1011959390881
115087845419
122399213969
131187916969
1481648a85b
1549eded356
hex2c8d5d2a1

11959390881 has 45 divisors (see below), whose sum is σ = 18546813571. Its totient is φ = 7679626416.

The previous prime is 11959390879. The next prime is 11959390909. The reversal of 11959390881 is 18809395911.

The square root of 11959390881 is 109359.

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

It can be written as a sum of positive squares in only one way, i.e., 6271214481 + 5688176400 = 79191^2 + 75420^2 .

It is not a de Polignac number, because 11959390881 - 21 = 11959390879 is a prime.

It is a super-2 number, since 2×119593908812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11959390181) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28542490 + ... + 28542908.

Almost surely, 211959390881 is an apocalyptic number.

11959390881 is the 109359-th square number.

11959390881 is the 54680-th centered octagonal number.

It is an amenable number.

11959390881 is a deficient number, since it is larger than the sum of its proper divisors (6587422690).

11959390881 is an frugal number, since it uses more digits than its factorization.

11959390881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 54.

The spelling of 11959390881 in words is "eleven billion, nine hundred fifty-nine million, three hundred ninety thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 29 81 87 261 419 783 841 1257 2349 2523 3771 7569 11313 12151 22707 33939 36453 68121 109359 175561 328077 352379 526683 984231 1057137 1580049 3171411 4740147 5091269 9514233 14220441 15273807 28542699 45821421 137464263 147646801 412392789 442940403 1328821209 3986463627 11959390881