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21467013120 = 21333574759
BaseRepresentation
bin10011111111100010…
…001010000000000000
32001102001222020221000
4103333202022000000
5322431023404440
613510052332000
71356654413040
oct237742120000
961361866830
1021467013120
119116629763
1241b1314000
1320415ba537
14107907d720
1585994b730
hex4ff88a000

21467013120 has 896 divisors, whose sum is σ = 90591436800. Its totient is φ = 4720951296.

The previous prime is 21467013101. The next prime is 21467013133. The reversal of 21467013120 is 2131076412.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363847651 + ... + 363847709.

Almost surely, 221467013120 is an apocalyptic number.

21467013120 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 21467013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45295718400).

21467013120 is an abundant number, since it is smaller than the sum of its proper divisors (69124423680).

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

21467013120 is an equidigital number, since it uses as much as digits as its factorization.

21467013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 21467013120 its reverse (2131076412), we get a palindrome (23598089532).

The spelling of 21467013120 in words is "twenty-one billion, four hundred sixty-seven million, thirteen thousand, one hundred twenty".