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2321700490368 = 2732710110726641
BaseRepresentation
bin100001110010010000001…
…000100000110010000000
322012221201022002000012200
4201302100020200302000
5301014320311142433
64534324030553200
7326510621361240
oct41622010406200
98187638060180
102321700490368
1181569a444746
12315b64968800
1313ac2115940c
1480529a89b20
15405d5856613
hex21c90220c80

2321700490368 has 384 divisors, whose sum is σ = 7783308973440. Its totient is φ = 650612736000.

The previous prime is 2321700490357. The next prime is 2321700490451. The reversal of 2321700490368 is 8630940071232.

2321700490368 is a `hidden beast` number, since 2 + 32 + 1 + 70 + 0 + 490 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87134328 + ... + 87160968.

It is an arithmetic number, because the mean of its divisors is an integer number (20269033785).

Almost surely, 22321700490368 is an apocalyptic number.

2321700490368 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 2321700490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891654486720).

2321700490368 is an abundant number, since it is smaller than the sum of its proper divisors (5461608483072).

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

2321700490368 is a wasteful number, since it uses less digits than its factorization.

2321700490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26876 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2321700490368 in words is "two trillion, three hundred twenty-one billion, seven hundred million, four hundred ninety thousand, three hundred sixty-eight".