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186879831616 = 26540372
BaseRepresentation
bin1010111000001011100…
…1111110111001000000
3122212100222101002000001
42232002321332321000
511030212214102431
6221503523205344
716334025234142
oct2560271767100
9585328332001
10186879831616
117228987a535
1230275816854
1314813094a2a
14908b7d4c92
154cdb6d6e61
hex2b82e7ee40

186879831616 has 21 divisors (see below), whose sum is σ = 370846528689. Its totient is φ = 93438186624.

The previous prime is 186879831613. The next prime is 186879831637. The reversal of 186879831616 is 616138978681.

The square root of 186879831616 is 432296.

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

186879831616 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., 177645390400 + 9234441216 = 421480^2 + 96096^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (186879831613) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 3431350 + ... + 3485386.

It is an arithmetic number, because the mean of its divisors is an integer number (17659358509).

Almost surely, 2186879831616 is an apocalyptic number.

186879831616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

186879831616 is the 432296-th square number.

It is an amenable number.

186879831616 is a deficient number, since it is larger than the sum of its proper divisors (183966697073).

186879831616 is an frugal number, since it uses more digits than its factorization.

186879831616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108086 (or 54039 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 64.

Multiplying 186879831616 by its sum of digits (64), we get a square (11960309223424 = 34583682).

186879831616 divided by its sum of digits (64) gives a square (2919997369 = 540372).

The spelling of 186879831616 in words is "one hundred eighty-six billion, eight hundred seventy-nine million, eight hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 54037 108074 216148 432296 864592 1729184 3458368 2919997369 5839994738 11679989476 23359978952 46719957904 93439915808 186879831616