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187969070916 = 223211265692
BaseRepresentation
bin1010111100001111010…
…1000110011101000100
3122222011212222011102100
42233003311012131010
511034430040232131
6222203553312100
716403022512004
oct2570365063504
9588155864370
10187969070916
1172798705100
123051a565630
1314957948823
149152332004
154d521447e6
hex2bc3d46744

187969070916 has 81 divisors (see below), whose sum is σ = 522345280093. Its totient is φ = 56951653440.

The previous prime is 187969070903. The next prime is 187969070917. The reversal of 187969070916 is 619070969781.

The square root of 187969070916 is 433554.

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

187969070916 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., 169123272516 + 18845798400 = 411246^2 + 137280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187969070917) 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 26 ways as a sum of consecutive naturals, for example, 28611280 + ... + 28617848.

Almost surely, 2187969070916 is an apocalyptic number.

187969070916 is the 433554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187969070916

187969070916 is an abundant number, since it is smaller than the sum of its proper divisors (334376209177).

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

187969070916 is an equidigital number, since it uses as much as digits as its factorization.

187969070916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13170 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 187969070916 in words is "one hundred eighty-seven billion, nine hundred sixty-nine million, seventy thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 6569 13138 19707 26276 39414 59121 72259 78828 118242 144518 216777 236484 289036 433554 650331 794849 867108 1300662 1589698 2384547 2601324 3179396 4769094 7153641 9538188 14307282 28614564 43151761 86303522 129455283 172607044 258910566 388365849 474669371 517821132 776731698 949338742 1424008113 1553463396 1898677484 2848016226 4272024339 5221363081 5696032452 8544048678 10442726162 15664089243 17088097356 20885452324 31328178486 46992267729 62656356972 93984535458 187969070916