Search a number
-
+
188930981484 = 223273145910487
BaseRepresentation
bin1010111111110100101…
…0011111111001101100
3200001122220222021122200
42233331022133321230
511043412312401414
6222443234341500
716435612563000
oct2577512377154
9601586867580
10188930981484
1173141682813
123074872a890
1314a7c00a98b
149203da6700
154dab800109
hex2bfd29fe6c

188930981484 has 144 divisors (see below), whose sum is σ = 557374272000. Its totient is φ = 53938138464.

The previous prime is 188930981467. The next prime is 188930981537. The reversal of 188930981484 is 484189039881.

188930981484 is a `hidden beast` number, since 188 + 9 + 309 + 8 + 148 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18010489 + ... + 18020975.

Almost surely, 2188930981484 is an apocalyptic number.

188930981484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188930981484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278687136000).

188930981484 is an abundant number, since it is smaller than the sum of its proper divisors (368443290516).

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

188930981484 is a wasteful number, since it uses less digits than its factorization.

188930981484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11977 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 188930981484 in words is "one hundred eighty-eight billion, nine hundred thirty million, nine hundred eighty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1459 1764 2058 2918 3087 4116 4377 5836 6174 8754 10213 10487 12348 13131 17508 20426 20974 26262 30639 31461 40852 41948 52524 61278 62922 71491 73409 91917 94383 122556 125844 142982 146818 183834 188766 214473 220227 285964 293636 367668 377532 428946 440454 500437 513863 643419 660681 857892 880908 1000874 1027726 1286838 1321362 1501311 1541589 2001748 2055452 2573676 2642724 3002622 3083178 3597041 4503933 4624767 6005244 6166356 7194082 9007866 9249534 10791123 14388164 15300533 18015732 18499068 21582246 30601066 32373369 43164492 45901599 61202132 64746738 91803198 107103731 129493476 137704797 183606396 214207462 275409594 321311193 428414924 550819188 642622386 749726117 963933579 1285244772 1499452234 1927867158 2249178351 2998904468 3855734316 4498356702 5248082819 6747535053 8996713404 10496165638 13495070106 15744248457 20992331276 26990140212 31488496914 47232745371 62976993828 94465490742 188930981484