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10986813124 = 227274872
BaseRepresentation
bin10100011101101110…
…10111011011000100
31001100200121221020121
422032313113123010
5140000111004444
65014113311324
7536156241100
oct121667273304
931320557217
1010986813124
114728851351
122167565544
13106128b371
1476323a900
15444837084
hex28edd76c4

10986813124 has 27 divisors (see below), whose sum is σ = 22369000143. Its totient is φ = 4708005288.

The previous prime is 10986813113. The next prime is 10986813139. The reversal of 10986813124 is 42131868901.

The square root of 10986813124 is 104818.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1463709 + ... + 1471195.

Almost surely, 210986813124 is an apocalyptic number.

10986813124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10986813124 is the 104818-th square number.

It is an amenable number.

10986813124 is an abundant number, since it is smaller than the sum of its proper divisors (11382187019).

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

10986813124 is an frugal number, since it uses more digits than its factorization.

10986813124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14992 (or 7496 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

Multiplying 10986813124 by its product of nonzero digits (82944), we get a square (911290227757056 = 301875842).

The spelling of 10986813124 in words is "ten billion, nine hundred eighty-six million, eight hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 7487 14974 29948 52409 104818 209636 366863 733726 1467452 56055169 112110338 224220676 392386183 784772366 1569544732 2746703281 5493406562 10986813124