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21187714740 = 2235163213291
BaseRepresentation
bin10011101110111000…
…101101111010110100
32000200121102102120120
4103232320231322310
5321343023332430
613422234131540
71350023414043
oct235670557264
960617372516
1021187714740
118a92a04755
124133880bb0
131cc878a31a
14104dd3855a
1584017b610
hex4eee2deb4

21187714740 has 72 divisors (see below), whose sum is σ = 59696286048. Its totient is φ = 5614971840.

The previous prime is 21187714711. The next prime is 21187714741. The reversal of 21187714740 is 4741778112.

It is a super-2 number, since 2×211877147402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21187714692 and 21187714701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21187714741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587495 + ... + 1600785.

It is an arithmetic number, because the mean of its divisors is an integer number (829115084).

Almost surely, 221187714740 is an apocalyptic number.

21187714740 is a gapful number since it is divisible by the number (20) 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 21187714740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29848143024).

21187714740 is an abundant number, since it is smaller than the sum of its proper divisors (38508571308).

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

21187714740 is a wasteful number, since it uses less digits than its factorization.

21187714740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13629 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The spelling of 21187714740 in words is "twenty-one billion, one hundred eighty-seven million, seven hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 13291 26569 26582 39873 53138 53164 66455 79707 79746 106276 132845 132910 159414 159492 199365 265690 265820 318828 398535 398730 531380 797070 797460 1594140 2166433 4332866 6499299 8665732 10832165 12998598 21664330 25997196 32496495 43328660 64992990 129985980 353128579 706257158 1059385737 1412514316 1765642895 2118771474 3531285790 4237542948 5296928685 7062571580 10593857370 21187714740