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10989119241 = 328324212
BaseRepresentation
bin10100011110000000…
…01010011100001001
31001100211222002122100
422033000022130021
5140001203303431
65014234544013
7536214654342
oct121700123411
931324862570
1010989119241
11472a086a31
122168298009
1310618b7c29
1476367b0c9
15444b404e6
hex28f00a709

10989119241 has 27 divisors (see below), whose sum is σ = 16104973287. Its totient is φ = 7220621520.

The previous prime is 10989119231. The next prime is 10989119249. The reversal of 10989119241 is 14291198901.

It is a happy number.

The square root of 10989119241 is 104829.

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., 52142841 + 10936976400 = 7221^2 + 104580^2 .

It is not a de Polignac number, because 10989119241 - 211 = 10989117193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10989119249) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 26102211 + ... + 26102631.

Almost surely, 210989119241 is an apocalyptic number.

10989119241 is the 104829-th square number.

10989119241 is the 52415-th centered octagonal number.

It is an amenable number.

10989119241 is a deficient number, since it is larger than the sum of its proper divisors (5115854046).

10989119241 is an frugal number, since it uses more digits than its factorization.

10989119241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

Multiplying 10989119241 by its product of nonzero digits (46656), we get a square (512708347308096 = 226430642).

The spelling of 10989119241 in words is "ten billion, nine hundred eighty-nine million, one hundred nineteen thousand, two hundred forty-one".

Divisors: 1 3 9 83 249 421 747 1263 3789 6889 20667 34943 62001 104829 177241 314487 531723 1595169 2900269 8700807 14711003 26102421 44133009 132399027 1221013249 3663039747 10989119241