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2000219739408 = 24321121793072089
BaseRepresentation
bin11101000110110110011…
…000110001010100010000
321002012220202022202202200
4131012312120301110100
5230232422223130113
64130515510443200
7264340211154522
oct35066630612420
97065822282680
102000219739408
11701319996300
122837a5663500
13116809c402a7
146cb4db2da12
153706c435873
hex1d1b6631510

2000219739408 has 360 divisors, whose sum is σ = 6210494690400. Its totient is φ = 600490091520.

The previous prime is 2000219739383. The next prime is 2000219739473. The reversal of 2000219739408 is 8049379120002.

2000219739408 is a `hidden beast` number, since 20 + 0 + 0 + 2 + 197 + 39 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957500028 + ... + 957502116.

It is an arithmetic number, because the mean of its divisors is an integer number (17251374140).

Almost surely, 22000219739408 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 2000219739408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105247345200).

2000219739408 is an abundant number, since it is smaller than the sum of its proper divisors (4210274950992).

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

2000219739408 is a wasteful number, since it uses less digits than its factorization.

2000219739408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2000219739408 in words is "two trillion, two hundred nineteen million, seven hundred thirty-nine thousand, four hundred eight".