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20299144320 = 273457132331
BaseRepresentation
bin10010111001111011…
…000101110010000000
31221101200102101010000
4102321323011302000
5313033040104240
613154133040000
71316013610530
oct227173056200
957350371100
1020299144320
118677379634
123b26186000
131bb6666100
14da7d154c0
157dc15b430
hex4b9ec5c80

20299144320 has 960 divisors, whose sum is σ = 89982066240. Its totient is φ = 4269957120.

The previous prime is 20299144267. The next prime is 20299144343. The reversal of 20299144320 is 2344199202.

20299144320 is a `hidden beast` number, since 2 + 0 + 299 + 1 + 44 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61326555 + ... + 61326885.

It is an arithmetic number, because the mean of its divisors is an integer number (93731319).

Almost surely, 220299144320 is an apocalyptic number.

20299144320 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 20299144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44991033120).

20299144320 is an abundant number, since it is smaller than the sum of its proper divisors (69682921920).

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

20299144320 is a wasteful number, since it uses less digits than its factorization.

20299144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20299144320 in words is "twenty billion, two hundred ninety-nine million, one hundred forty-four thousand, three hundred twenty".