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186828156928 = 212717383297
BaseRepresentation
bin1010110111111111010…
…0110111000000000000
3122212020101010201122201
42231333310313000000
511030111002010203
6221454435442544
716332530063110
oct2557764670000
9585211121581
10186828156928
1172262695586
1230260456454
13148054712aa
1490849c3040
154cd6dcae1d
hex2b7fd37000

186828156928 has 104 divisors (see below), whose sum is σ = 452101524192. Its totient is φ = 75359059968.

The previous prime is 186828156901. The next prime is 186828156961. The reversal of 186828156928 is 829651828681.

186828156928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1868281569282 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 186828156928.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 295776 + ... + 679072.

Almost surely, 2186828156928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186828156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226050762096).

186828156928 is an abundant number, since it is smaller than the sum of its proper divisors (265273367264).

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

186828156928 is an equidigital number, since it uses as much as digits as its factorization.

186828156928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383345 (or 383323 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 64.

The spelling of 186828156928 in words is "one hundred eighty-six billion, eight hundred twenty-eight million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1024 1088 1792 1904 2048 2176 3584 3808 4096 4352 7168 7616 8704 14336 15232 17408 28672 30464 34816 60928 69632 121856 243712 383297 487424 766594 1533188 2683079 3066376 5366158 6132752 6516049 10732316 12265504 13032098 21464632 24531008 26064196 42929264 45612343 49062016 52128392 85858528 91224686 98124032 104256784 171717056 182449372 196248064 208513568 343434112 364898744 392496128 417027136 686868224 729797488 784992256 834054272 1373736448 1459594976 1569984512 1668108544 2747472896 2919189952 3336217088 5494945792 5838379904 6672434176 10989891584 11676759808 13344868352 23353519616 26689736704 46707039232 93414078464 186828156928