Search a number
-
+
42189686100 = 223252465110079
BaseRepresentation
bin100111010010101100…
…111000010101010100
311000220021100010010200
4213102230320111110
51142401024423400
631214235220500
73022333262202
oct472254702524
9130807303120
1042189686100
111698aa83681
1282152a7730
133c94912503
142083322072
15116dd67b00
hex9d2b38554

42189686100 has 108 divisors (see below), whose sum is σ = 132282783360. Its totient is φ = 11247048000.

The previous prime is 42189686083. The next prime is 42189686141. The reversal of 42189686100 is 168698124.

42189686100 is a `hidden beast` number, since 4 + 21 + 8 + 9 + 6 + 8 + 610 + 0 = 666.

It is a super-2 number, since 2×421896861002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4180861 + ... + 4190939.

Almost surely, 242189686100 is an apocalyptic number.

It is an amenable number.

42189686100 is an abundant number, since it is smaller than the sum of its proper divisors (90093097260).

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

42189686100 is a wasteful number, since it uses less digits than its factorization.

42189686100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14750 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 42189686100 in words is "forty-two billion, one hundred eighty-nine million, six hundred eighty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4651 9302 10079 13953 18604 20158 23255 27906 30237 40316 41859 46510 50395 55812 60474 69765 83718 90711 93020 100790 116275 120948 139530 151185 167436 181422 201580 209295 232550 251975 279060 302370 348825 362844 418590 453555 465100 503950 604740 697650 755925 837180 907110 1007900 1046475 1395300 1511850 1814220 2092950 2267775 3023700 4185900 4535550 9071100 46877429 93754858 140632287 187509716 234387145 281264574 421896861 468774290 562529148 703161435 843793722 937548580 1171935725 1406322870 1687587444 2109484305 2343871450 2812645740 3515807175 4218968610 4687742900 7031614350 8437937220 10547421525 14063228700 21094843050 42189686100