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2297806303968 = 2533717138116183
BaseRepresentation
bin100001011011111111111…
…011011011001011100000
322010200001001221120111000
4201123333323123023200
5300121401403211333
64515333031352000
7325003532215230
oct41337773331340
98120031846430
102297806303968
1180654883385a
123113b6822600
131388b3a5aa96
147d300515cc0
153eb87cb7713
hex216ffedb2e0

2297806303968 has 384 divisors, whose sum is σ = 8116278589440. Its totient is φ = 617411911680.

The previous prime is 2297806303957. The next prime is 2297806304009. The reversal of 2297806303968 is 8693036087922.

2297806303968 is a `hidden beast` number, since 22 + 97 + 80 + 63 + 0 + 396 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141980805 + ... + 141996987.

It is an arithmetic number, because the mean of its divisors is an integer number (21136142160).

Almost surely, 22297806303968 is an apocalyptic number.

2297806303968 is a gapful number since it is divisible by the number (28) 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 2297806303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058139294720).

2297806303968 is an abundant number, since it is smaller than the sum of its proper divisors (5818472285472).

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

2297806303968 is a wasteful number, since it uses less digits than its factorization.

2297806303968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607 (or 17593 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 2297806303968 in words is "two trillion, two hundred ninety-seven billion, eight hundred six million, three hundred three thousand, nine hundred sixty-eight".