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2392214680128 = 2637133183127419
BaseRepresentation
bin100010110011111011000…
…110110011001001000000
322110200201112221222211110
4202303323012303021000
5303143223424231003
65030545050443320
7334555211164350
oct42637306631100
98420645858743
102392214680128
11842594905129
12327763a33540
1314477ac86760
1483ad8aacb60
1542361184a03
hex22cfb1b3240

2392214680128 has 896 divisors, whose sum is σ = 8221863444480. Its totient is φ = 597027594240.

The previous prime is 2392214680109. The next prime is 2392214680147. The reversal of 2392214680128 is 8210864122932.

It is an interprime number because it is at equal distance from previous prime (2392214680109) and next prime (2392214680147).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5709342703 + ... + 5709343121.

It is an arithmetic number, because the mean of its divisors is an integer number (9176186880).

Almost surely, 22392214680128 is an apocalyptic number.

2392214680128 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 2392214680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110931722240).

2392214680128 is an abundant number, since it is smaller than the sum of its proper divisors (5829648764352).

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

2392214680128 is a wasteful number, since it uses less digits than its factorization.

2392214680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 2392214680128 in words is "two trillion, three hundred ninety-two billion, two hundred fourteen million, six hundred eighty thousand, one hundred twenty-eight".