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21183771420 = 223257237091031
BaseRepresentation
bin10011101110101001…
…101011001100011100
32000200100000002100200
4103232221223030130
5321341021141140
613422013423500
71346645041350
oct235651531434
960610002320
1021183771420
118a90761009
12413249ab90
131cc7a094b6
14104d5cd460
1583eb4d030
hex4eea6b31c

21183771420 has 288 divisors, whose sum is σ = 76812503040. Its totient is φ = 4620464640.

The previous prime is 21183771379. The next prime is 21183771457. The reversal of 21183771420 is 2417738112.

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 95 ways as a sum of consecutive naturals, for example, 20546305 + ... + 20547335.

It is an arithmetic number, because the mean of its divisors is an integer number (266710080).

Almost surely, 221183771420 is an apocalyptic number.

21183771420 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 21183771420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38406251520).

21183771420 is an abundant number, since it is smaller than the sum of its proper divisors (55628731620).

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

21183771420 is a wasteful number, since it uses less digits than its factorization.

21183771420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 21183771420 in words is "twenty-one billion, one hundred eighty-three million, seven hundred seventy-one thousand, four hundred twenty".