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21299949216 = 253571331971
BaseRepresentation
bin10011110101100100…
…110110111010100000
32000222102121112100000
4103311210312322200
5322110241333331
613441323500000
71352555403210
oct236544667240
960872545300
1021299949216
1190402a2117
124165387600
132015ac5760
141060bd2240
15849e4b0e6
hex4f5936ea0

21299949216 has 576 divisors, whose sum is σ = 79887015936. Its totient is φ = 5430758400.

The previous prime is 21299949191. The next prime is 21299949217. The reversal of 21299949216 is 61294999212.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21299949217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21935611 + ... + 21936581.

It is an arithmetic number, because the mean of its divisors is an integer number (138692736).

Almost surely, 221299949216 is an apocalyptic number.

21299949216 is a gapful number since it is divisible by the number (26) 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 21299949216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39943507968).

21299949216 is an abundant number, since it is smaller than the sum of its proper divisors (58587066720).

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

21299949216 is a wasteful number, since it uses less digits than its factorization.

21299949216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1027 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 21299949216 in words is "twenty-one billion, two hundred ninety-nine million, nine hundred forty-nine thousand, two hundred sixteen".