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187776990864 = 243213137326687
BaseRepresentation
bin1010111011100001100…
…0010111111010010000
3122221200111112111010100
42232320120113322100
511034031402201424
6222132532332400
716365201041601
oct2567030277220
9587614474110
10187776990864
11726aa241561
1230486174100
1314926c053a8
149134a11da8
154d40351dc9
hex2bb8617e90

187776990864 has 120 divisors (see below), whose sum is σ = 530965873152. Its totient is φ = 61945678080.

The previous prime is 187776990829. The next prime is 187776990871. The reversal of 187776990864 is 468099677781.

187776990864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 187776990792 and 187776990801.

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 23 ways as a sum of consecutive naturals, for example, 7022929 + ... + 7049615.

Almost surely, 2187776990864 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 187776990864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265482936576).

187776990864 is an abundant number, since it is smaller than the sum of its proper divisors (343188882288).

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

187776990864 is a wasteful number, since it uses less digits than its factorization.

187776990864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27205 (or 27196 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 187776990864 in words is "one hundred eighty-seven billion, seven hundred seventy-six million, nine hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 373 393 524 746 786 1048 1119 1179 1492 1572 2096 2238 2358 2984 3144 3357 4476 4716 5968 6288 6714 8952 9432 13428 17904 18864 26687 26856 48863 53374 53712 80061 97726 106748 146589 160122 195452 213496 240183 293178 320244 390904 426992 439767 480366 586356 640488 781808 879534 960732 1172712 1280976 1759068 1921464 2345424 3495997 3518136 3842928 6991994 7036272 9954251 10487991 13983988 19908502 20975982 27967976 29862753 31463973 39817004 41951964 55935952 59725506 62927946 79634008 83903928 89588259 119451012 125855892 159268016 167807856 179176518 238902024 251711784 358353036 477804048 503423568 716706072 1304006881 1433412144 2608013762 3912020643 5216027524 7824041286 10432055048 11736061929 15648082572 20864110096 23472123858 31296165144 46944247716 62592330288 93888495432 187776990864