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2381320323648 = 26337277336383
BaseRepresentation
bin100010101001110001110…
…000001000001001000000
322102122121022022100021000
4202221301300020021000
5303003421000324043
65021544034532000
7334021223530200
oct42516160101100
98378538270230
102381320323648
11838a04272932
12325623437000
13143732bca586
1483383c5c400
1541e24a122d3
hex22a71c08240

2381320323648 has 336 divisors, whose sum is σ = 8154361704960. Its totient is φ = 679478381568.

The previous prime is 2381320323631. The next prime is 2381320323677. The reversal of 2381320323648 is 8463230231832.

2381320323648 is a `hidden beast` number, since 2 + 3 + 81 + 3 + 203 + 2 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65433265 + ... + 65469647.

Almost surely, 22381320323648 is an apocalyptic number.

2381320323648 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 2381320323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077180852480).

2381320323648 is an abundant number, since it is smaller than the sum of its proper divisors (5773041381312).

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

2381320323648 is a wasteful number, since it uses less digits than its factorization.

2381320323648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37191 (or 37168 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2381320323648 in words is "two trillion, three hundred eighty-one billion, three hundred twenty million, three hundred twenty-three thousand, six hundred forty-eight".