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20939424480 = 25335132232943
BaseRepresentation
bin10011100000000101…
…100100001011100000
32000001022012222101000
4103200011210023200
5320340443040410
613341444312000
71340620112532
oct234005441340
960038188330
1020939424480
118975839597
1240846a2600
131c891c5c00
141028d85852
15828483dc0
hex4e01642e0

20939424480 has 1152 divisors, whose sum is σ = 87657292800. Its totient is φ = 4649508864.

The previous prime is 20939424427. The next prime is 20939424481. The reversal of 20939424480 is 8442493902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20939424481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 486963339 + ... + 486963381.

It is an arithmetic number, because the mean of its divisors is an integer number (76091400).

Almost surely, 220939424480 is an apocalyptic number.

20939424480 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 20939424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43828646400).

20939424480 is an abundant number, since it is smaller than the sum of its proper divisors (66717868320).

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

20939424480 is a wasteful number, since it uses less digits than its factorization.

20939424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 20939424480 in words is "twenty billion, nine hundred thirty-nine million, four hundred twenty-four thousand, four hundred eighty".