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21923429472 = 253273415413
BaseRepresentation
bin10100011010101111…
…001111110001100000
32002120212210121110100
4110122233033301200
5324344344220342
614023235102400
71404166035000
oct243257176140
962525717410
1021923429472
11933022805a
1242ba141a00
1320b5022899
1410bd92c000
15884a55e4c
hex51abcfc60

21923429472 has 288 divisors, whose sum is σ = 74492308800. Its totient is φ = 6109931520.

The previous prime is 21923429447. The next prime is 21923429491. The reversal of 21923429472 is 27492432912.

21923429472 is a `hidden beast` number, since 219 + 2 + 3 + 429 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4047438 + ... + 4052850.

It is an arithmetic number, because the mean of its divisors is an integer number (258653850).

Almost surely, 221923429472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21923429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37246154400).

21923429472 is an abundant number, since it is smaller than the sum of its proper divisors (52568879328).

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

21923429472 is a wasteful number, since it uses less digits than its factorization.

21923429472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5466 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 21923429472 in words is "twenty-one billion, nine hundred twenty-three million, four hundred twenty-nine thousand, four hundred seventy-two".