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11855013358321 = 724918732
BaseRepresentation
bin1010110010000011010111…
…0111000010101011110001
31112222022212021010120122201
42230200311313002223301
53023213031404431241
641114041251103201
72332332165623200
oct254406567025361
945868767116581
1011855013358321
113860756a87aa1
1213b56b7ba1b01
1367cbcc998353
142cdaddda9237
15158599535931
hexac835dc2af1

11855013358321 has 9 divisors (see below), whose sum is σ = 13790553780171. Its totient is φ = 10161419362752.

The previous prime is 11855013358261. The next prime is 11855013358333. The reversal of 11855013358321 is 12385331055811.

The square root of 11855013358321 is 3443111.

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

11855013358321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 269594600625 + 11585418757696 = 519225^2 + 3403736^2 .

It is not a de Polignac number, because 11855013358321 - 211 = 11855013356273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11855013338321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23855841 + ... + 24347713.

Almost surely, 211855013358321 is an apocalyptic number.

11855013358321 is the 3443111-st square number.

11855013358321 is the 1721556-th centered octagonal number.

It is an amenable number.

11855013358321 is a deficient number, since it is larger than the sum of its proper divisors (1935540421850).

11855013358321 is an frugal number, since it uses more digits than its factorization.

11855013358321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983760 (or 491880 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 11855013358321 in words is "eleven trillion, eight hundred fifty-five billion, thirteen million, three hundred fifty-eight thousand, three hundred twenty-one".

Divisors: 1 7 49 491873 3443111 24101777 241939048129 1693573336903 11855013358321