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11867480696241 = 343827692
BaseRepresentation
bin1010110010110001110011…
…1110001010010110110001
31120000112001010121222010000
42230230130332022112301
53023414100024234431
641123502333300213
72333253143350152
oct254543476122661
946015033558100
1011867480696241
113865a74517555
1213b7bb7334669
136811388ba391
142d0563ab9929
15158a78d1b9e6
hexacb1cf8a5b1

11867480696241 has 15 divisors (see below), whose sum is σ = 17728011305851. Its totient is φ = 7911633127968.

The previous prime is 11867480696231. The next prime is 11867480696263. The reversal of 11867480696241 is 14269608476811.

The square root of 11867480696241 is 3444921.

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

11867480696241 is a `hidden beast` number, since 1 + 1 + 8 + 67 + 480 + 6 + 96 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4839467614641 + 7028013081600 = 2199879^2 + 2651040^2 .

It is not a de Polignac number, because 11867480696241 - 211 = 11867480694193 is a prime.

It is a super-2 number, since 2×118674806962412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11867480696231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 30812905 + ... + 31195673.

Almost surely, 211867480696241 is an apocalyptic number.

11867480696241 is the 3444921-st square number.

11867480696241 is the 1722461-st centered octagonal number.

It is an amenable number.

11867480696241 is a deficient number, since it is larger than the sum of its proper divisors (5860530609610).

11867480696241 is an frugal number, since it uses more digits than its factorization.

11867480696241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765550 (or 382772 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 11867480696241 in words is "eleven trillion, eight hundred sixty-seven billion, four hundred eighty million, six hundred ninety-six thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 382769 1148307 3444921 10334763 31004289 146512107361 439536322083 1318608966249 3955826898747 11867480696241