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2382014279680 = 21257217139627
BaseRepresentation
bin100010101010011011000…
…111010111000000000000
322102201101200002221222021
4202222123013113000000
5303011331123422210
65022140544451224
7334044351206500
oct42523307270000
98381350087867
102382014279680
1183922aa64312
12325797919b14
13143813901949
148340c0a1a00
1541e658ddbda
hex22a9b1d7000

2382014279680 has 312 divisors, whose sum is σ = 7040573787888. Its totient is φ = 768644481024.

The previous prime is 2382014279677. The next prime is 2382014279683. The reversal of 2382014279680 is 869724102832.

It is an interprime number because it is at equal distance from previous prime (2382014279677) and next prime (2382014279683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382014279683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16990027 + ... + 17129653.

Almost surely, 22382014279680 is an apocalyptic number.

2382014279680 is a gapful number since it is divisible by the number (20) 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 2382014279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520286893944).

2382014279680 is an abundant number, since it is smaller than the sum of its proper divisors (4658559508208).

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

2382014279680 is a wasteful number, since it uses less digits than its factorization.

2382014279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139687 (or 139658 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 2382014279680 in words is "two trillion, three hundred eighty-two billion, fourteen million, two hundred seventy-nine thousand, six hundred eighty".