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21186181220 = 2256789177647
BaseRepresentation
bin10011101110110010…
…110111100001100100
32000200111112111222112
4103232302313201210
5321342130244340
613422141220152
71350004366121
oct235662674144
960614474875
1021186181220
118a92057586
124133261658
131cc8371309
14104da59748
1583ee77065
hex4eecb7864

21186181220 has 48 divisors (see below), whose sum is σ = 45662641920. Its totient is φ = 8254143744.

The previous prime is 21186181193. The next prime is 21186181229. The reversal of 21186181220 is 2218168112.

It is not an unprimeable number, because it can be changed into a prime (21186181229) 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 15 ways as a sum of consecutive naturals, for example, 30437 + ... + 208083.

It is an arithmetic number, because the mean of its divisors is an integer number (951305040).

Almost surely, 221186181220 is an apocalyptic number.

21186181220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21186181220 is an abundant number, since it is smaller than the sum of its proper divisors (24476460700).

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

21186181220 is a wasteful number, since it uses less digits than its factorization.

21186181220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177812 (or 177810 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The spelling of 21186181220 in words is "twenty-one billion, one hundred eighty-six million, one hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 89 134 178 268 335 356 445 670 890 1340 1780 5963 11926 23852 29815 59630 119260 177647 355294 710588 888235 1776470 3552940 11902349 15810583 23804698 31621166 47609396 59511745 63242332 79052915 119023490 158105830 238046980 316211660 1059309061 2118618122 4237236244 5296545305 10593090610 21186181220