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20929339200 = 26352711173331
BaseRepresentation
bin10011011111011111…
…000101111101000000
32000000121020120222010
4103133133011331000
5320330402323300
613340444212520
71340435306430
oct233737057500
960017216863
1020929339200
118970080350
12408123a140
131c870a45a3
1410278bc2c0
15827640a50
hex4df7c5f40

20929339200 has 672 divisors, whose sum is σ = 90672196608. Its totient is φ = 4091904000.

The previous prime is 20929339169. The next prime is 20929339219. The reversal of 20929339200 is 293392902.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6281535 + ... + 6284865.

It is an arithmetic number, because the mean of its divisors is an integer number (134928864).

Almost surely, 220929339200 is an apocalyptic number.

20929339200 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 20929339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45336098304).

20929339200 is an abundant number, since it is smaller than the sum of its proper divisors (69742857408).

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

20929339200 is a wasteful number, since it uses less digits than its factorization.

20929339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 20929339200 in words is "twenty billion, nine hundred twenty-nine million, three hundred thirty-nine thousand, two hundred".