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11852894641 = 7210321512
BaseRepresentation
bin10110000100111110…
…01101000110110001
31010121001022102201211
423002133031012301
5143233320112031
65240052400121
7566503641100
oct130237150661
933531272654
1011852894641
1150327171a5
122369616041
13116b83a333
14806288037
154958b3bb1
hex2c27cd1b1

11852894641 has 27 divisors (see below), whose sum is σ = 14016042873. Its totient is φ = 9994357800.

The previous prime is 11852894629. The next prime is 11852894653. The reversal of 11852894641 is 14649825811.

The square root of 11852894641 is 108871.

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

11852894641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11852894629) and next prime (11852894653).

It is not a de Polignac number, because 11852894641 - 213 = 11852886449 is a prime.

It is a super-2 number, since 2×118528946412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (11852894341) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 78495916 + ... + 78496066.

It is an arithmetic number, because the mean of its divisors is an integer number (519112699).

Almost surely, 211852894641 is an apocalyptic number.

11852894641 is the 108871-st square number.

11852894641 is the 54436-th centered octagonal number.

It is an amenable number.

11852894641 is a deficient number, since it is larger than the sum of its proper divisors (2163148232).

11852894641 is an frugal number, since it uses more digits than its factorization.

11852894641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its digits is 552960, while the sum is 49.

Multiplying 11852894641 by its sum of digits (49), we get a square (580791837409 = 7620972).

11852894641 divided by its sum of digits (49) gives a square (241895809 = 155532).

The spelling of 11852894641 in words is "eleven billion, eight hundred fifty-two million, eight hundred ninety-four thousand, six hundred forty-one".

Divisors: 1 7 49 103 151 721 1057 5047 7399 10609 15553 22801 74263 108871 159607 519841 762097 1117249 1601959 2348503 11213713 16439521 78495991 115076647 241895809 1693270663 11852894641