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21354514500 = 22353111737481
BaseRepresentation
bin10011111000110101…
…000000100001000100
32001010020021201211110
4103320311000201010
5322213223431000
613450553205020
71354120243524
oct237065004104
961106251743
1021354514500
1190690808a0
12417b700770
1320241bbac7
141068157684
1584eb28850
hex4f8d40844

21354514500 has 192 divisors, whose sum is σ = 68238713088. Its totient is φ = 5146240000.

The previous prime is 21354514471. The next prime is 21354514513. The reversal of 21354514500 is 541545312.

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

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, 2850760 + ... + 2858240.

It is an arithmetic number, because the mean of its divisors is an integer number (355409964).

Almost surely, 221354514500 is an apocalyptic number.

21354514500 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 21354514500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34119356544).

21354514500 is an abundant number, since it is smaller than the sum of its proper divisors (46884198588).

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

21354514500 is a wasteful number, since it uses less digits than its factorization.

21354514500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 21354514500 in words is "twenty-one billion, three hundred fifty-four million, five hundred fourteen thousand, five hundred".