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21460054000 = 2453711331421
BaseRepresentation
bin10011111111000111…
…100110111111110000
32001101120212200210211
4103333013212333300
5322422233212000
613505243233504
71356541310050
oct237707467760
961346780724
1021460054000
119112706220
1241aab18894
132040021b08
14107818b560
158590247ba
hex4ff1e6ff0

21460054000 has 320 divisors, whose sum is σ = 65044122624. Its totient is φ = 6652800000.

The previous prime is 21460053959. The next prime is 21460054001. The reversal of 21460054000 is 45006412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21460054001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50973790 + ... + 50974210.

Almost surely, 221460054000 is an apocalyptic number.

21460054000 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 21460054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32522061312).

21460054000 is an abundant number, since it is smaller than the sum of its proper divisors (43584068624).

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

21460054000 is a wasteful number, since it uses less digits than its factorization.

21460054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 21460054000 in words is "twenty-one billion, four hundred sixty million, fifty-four thousand".