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2093345856 = 2635724167
BaseRepresentation
bin111110011000101…
…1110110001000000
312101212222222200000
41330301132301000
513241344031411
6543415400000
7102606101100
oct17461366100
95355888600
102093345856
119847037a8
124a5083000
132748cb1b4
1415c037200
15c3ba0956
hex7cc5ec40

2093345856 has 504 divisors, whose sum is σ = 7525548576. Its totient is φ = 574801920.

The previous prime is 2093345833. The next prime is 2093345857. The reversal of 2093345856 is 6585433902.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093345857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31243935 + ... + 31244001.

It is an arithmetic number, because the mean of its divisors is an integer number (14931644).

Almost surely, 22093345856 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 2093345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762774288).

2093345856 is an abundant number, since it is smaller than the sum of its proper divisors (5432202720).

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

2093345856 is an equidigital number, since it uses as much as digits as its factorization.

2093345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2093345856 is about 45753.0966820826. The cubic root of 2093345856 is about 1279.2251690819.

The spelling of 2093345856 in words is "two billion, ninety-three million, three hundred forty-five thousand, eight hundred fifty-six".