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21316823040 = 211351315297
BaseRepresentation
bin10011110110100101…
…001110100000000000
32001000121100210212110
4103312211032200000
5322124101314130
613443125255320
71353152002062
oct236645164000
961017323773
1021316823040
119049877727
12416ab64540
132019452c76
141063145732
1584b680ab0
hex4f694e800

21316823040 has 192 divisors, whose sum is σ = 68730742080. Its totient is φ = 5640028160.

The previous prime is 21316823009. The next prime is 21316823081. The reversal of 21316823040 is 4032861312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21316822989 and 21316823007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4021672 + ... + 4026968.

It is an arithmetic number, because the mean of its divisors is an integer number (357972615).

Almost surely, 221316823040 is an apocalyptic number.

21316823040 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 21316823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34365371040).

21316823040 is an abundant number, since it is smaller than the sum of its proper divisors (47413919040).

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

21316823040 is a wasteful number, since it uses less digits than its factorization.

21316823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 21316823040 in words is "twenty-one billion, three hundred sixteen million, eight hundred twenty-three thousand, forty".