Search a number
-
+
21131686512 = 243348915941
BaseRepresentation
bin10011101011100010…
…111111001001110000
32000112200222220022000
4103223202333021300
5321234202432022
613412513214000
71345443241326
oct235342771160
960480886260
1021131686512
118a64316932
124118b61300
131cb9ca1121
141046711d16
1583a2b06ac
hex4eb8bf270

21131686512 has 40 divisors (see below), whose sum is σ = 60655768080. Its totient is φ = 7043895360.

The previous prime is 21131686507. The next prime is 21131686547. The reversal of 21131686512 is 21568613112.

21131686512 is a `hidden beast` number, since 2 + 1 + 131 + 6 + 8 + 6 + 512 = 666.

It is a super-2 number, since 2×211316865122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24457539 + ... + 24458402.

It is an arithmetic number, because the mean of its divisors is an integer number (1516394202).

Almost surely, 221131686512 is an apocalyptic number.

It is an amenable number.

21131686512 is an abundant number, since it is smaller than the sum of its proper divisors (39524081568).

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

21131686512 is a wasteful number, since it uses less digits than its factorization.

21131686512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48915958 (or 48915946 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 21131686512 in words is "twenty-one billion, one hundred thirty-one million, six hundred eighty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 48915941 97831882 146747823 195663764 293495646 391327528 440243469 586991292 782655056 880486938 1173982584 1320730407 1760973876 2347965168 2641460814 3521947752 5282921628 7043895504 10565843256 21131686512