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2057471277696 = 2732193179131293
BaseRepresentation
bin11101111100001010110…
…110000011101010000000
321021200200201012020211200
4131330022312003222000
5232202200121341241
64213104513541200
7301435025206362
oct35741266035200
97250621166750
102057471277696
117236289973aa
12292902b74800
1311c032146873
1471821576d32
15387bd72e4b6
hex1df0ad83a80

2057471277696 has 768 divisors, whose sum is σ = 6586804224000. Its totient is φ = 613968076800.

The previous prime is 2057471277637. The next prime is 2057471277709. The reversal of 2057471277696 is 6967721747502.

2057471277696 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 471 + 2 + 7 + 76 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7022086126 + ... + 7022086418.

It is an arithmetic number, because the mean of its divisors is an integer number (8576568000).

Almost surely, 22057471277696 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 2057471277696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293402112000).

2057471277696 is an abundant number, since it is smaller than the sum of its proper divisors (4529332946304).

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

2057471277696 is a wasteful number, since it uses less digits than its factorization.

2057471277696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 2057471277696 in words is "two trillion, fifty-seven billion, four hundred seventy-one million, two hundred seventy-seven thousand, six hundred ninety-six".