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11861449248 = 2531111232433
BaseRepresentation
bin10110000101111111…
…10101101000100000
31010121122102001110010
423002333311220200
5143243012333443
65241000004520
7566636440455
oct130277655040
933548361403
1011861449248
11503752a420
122370460740
13117054402c
1480747382c
15496503733
hex2c2ff5a20

11861449248 has 48 divisors (see below), whose sum is σ = 33966880416. Its totient is φ = 3594378240.

The previous prime is 11861449231. The next prime is 11861449273. The reversal of 11861449248 is 84294416811.

11861449248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11861449197 and 11861449206.

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 7 ways as a sum of consecutive naturals, for example, 5615161 + ... + 5617272.

It is an arithmetic number, because the mean of its divisors is an integer number (707643342).

Almost surely, 211861449248 is an apocalyptic number.

It is an amenable number.

11861449248 is an abundant number, since it is smaller than the sum of its proper divisors (22105431168).

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

11861449248 is a wasteful number, since it uses less digits than its factorization.

11861449248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232457 (or 11232449 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The spelling of 11861449248 in words is "eleven billion, eight hundred sixty-one million, four hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11232433 22464866 33697299 44929732 67394598 89859464 123556763 134789196 179718928 247113526 269578392 359437856 370670289 494227052 539156784 741340578 988454104 1078313568 1482681156 1976908208 2965362312 3953816416 5930724624 11861449248